This paper proposes a theoretical approach to discuss the relations among reality, chemists’ interactions with it, and the resulting interpretation and representation of the acquired scientific knowledge. Taking into account that such relations are of semiotic nature, this paper aims at discussing in the light of Peirce’s theory of signs different descriptions of chemical activity and chemical education proposed by Alex Johnstone and elaborated by other science educators. In order to discuss the contributions and limitations of the (...) proposed theoretical framework, and considering its potential interest for chemical education, an example on the communication strategies for the content ‘vapour pressure’ found in twentieth-century general chemistry university textbooks is also presented. (shrink)

To demarcate the limits of experimental knowledge, we probe the limits of what might be called an experiment. By appeal to examples of scientific practice from astrophysics and analogue gravity, we demonstrate that the reliability of knowledge regarding certain phenomena gained from an experiment is not circumscribed by the manipulability or accessibility of the target phenomena. Rather, the limits of experimental knowledge are set by the extent to which strategies for what we call ‘inductive (...) triangulation’ are available: that is, the validation of the mode of inductive reasoning involved in the source-target inference via appeal to one or more distinct and independent modes of inductive reasoning. When such strategies are able to partially mitigate reasonable doubt, we can take a theory regarding the phenomena to be well supported by experiment. When such strategies are able to fully mitigate reasonable doubt, we can take a theory regarding the phenomena to be established by experiment. There are good reasons to expect the next generation of analogue experiments to provide genuine knowledge of unmanipulable and inaccessible phenomena such that the relevant theories can be understood as well supported. This article is part of a discussion meeting issue ‘The next generation of analogue gravity experiments’. (shrink)

Chemistry is by far the most productive science concerning the number of publications. A closer look at chemical papers reveals that most papers deal with new substances. The rapid growth of chemical knowledge seriously challenges all institutions and individuals concerned with chemistry. Chemistry documentation following the principle of completeness is required to schematize chemical information, which in turn induces a schematization of chemical research. Chemistry education is forced to seek reasonable principles of selectivity, although nobody (...) can have an overview any more. Philosophical evaluation of the growth of chemical knowledge proves that at the same time chemical ‘nonknowledge’ increases more rapidly. An analysis of reasons, why chemists are making new substances at all, shows that the proliferation of new substances is for the most part an end in itself. The present paper finally argues for the need of a rational discourse among chemists on the aims of chemistry. (shrink)

An introduction for students in the hard and social sciences, this brief book examines the nature and limits of human knowledge. Topics include how humans process information, how they cannot have certain knowledge, the limits to all human systems of definition including science, and the considerations of these limits. -/- .

This paper argues that the foundations of our knowledge are the bed-rock certainties of ordinary life, what may be called the Moorean truths. Beyond that are the well-established results within the empirical sciences, and whatever has been proved in the rational sciences of mathematics and logic. Otherwise there is only belief, which may be more or less rational. A moral drawn from this is that dogmatism should be moderated on all sides.

This work investigates some of the most important logical limits of scientific knowledge. We argue that scientific knowledge is based on different logicalforms and paradigms. The logical forms, which represent the rational structure of scientific knowledge, show their limits through logical antinomies. The paradigms, which represent the scientific points of view on the world, show their limits through the theoretical anomalies. When these limits arise in science and when scientists become fully and deeply (...) aware of them, they can determine logical or paradigmatic revolutions. These are different in their respective courses, although the logical forms and the paradigms are parts of the same type of knowledge. In the end, science can avoid or can integrate its different limits. In fact, the limits of science can become new opportunities for its growth and development. (shrink)

This paper examines whether classical extensional mereology is adequate for formalizing the whole–parts relation in quantum chemical systems. Although other philosophers have argued that classical extensional and summative mereology does not adequately formalize whole–parts relation within organic wholes and social wholes, such critiques often assume that summative mereology is appropriate for formalizing the whole–parts relation in inorganic wholes such as atoms and molecules. However, my discussion of atoms and molecules as they are conceptualized in quantum chemistry will establish that (...) standard mereology cannot adequately fulfill this task, since the properties and behavior of such wholes are context-dependent and cannot simply be reduced to the summative properties of their parts. To the extent that philosophers of chemistry have called for the development of an alternative mereology for quantum chemical systems, this paper ends by proposing behavioral mereology as a promising step in that direction. According to behavioral mereology, considerations of what constitutes a part of a whole is dependent upon the observable behavior displayed by these entities. Thus, relationality and context-dependence are stipulated from the outset and this makes behavioral mereology particularly well-suited as a mereology of quantum chemical wholes. The question of which mereology is appropriate for formalizing the whole–parts relation in quantum chemical systems is relevant to contemporary philosophy of chemistry, since this issue is related to the more general questions of the reducibility of chemical wholes to their parts and of the reducibility of chemistry to physics, which have been of central importance within the philosophy of chemistry for several decades. More generally, this paper puts contemporary discussions of mereology within the philosophy of chemistry into a broader historical and philosophical context. In doing so, this paper also bridges the gap between formal mereology, conceived as a branch of formal ontology, and “applied” mereology, conceived as a branch of philosophy of science. (shrink)

This fascinating popular science journey explores key concepts in information theory in terms of Conway's "Game of Life" program. The author explains the application of natural law to a random system and demonstrates the necessity of limits. Other topics include the limits of knowledge, paradox of complexity, Maxwell's demon, Big Bang theory, and much more. 1985 edition.

Hume maintained that “since all actions and sensations of the mind are known to us by consciousness, they must necessarily appear in every particular what they are, and be what they appear.” Descartes maintained a very similar doctrine, and Locke and Berkeley held at least part of the doctrine. I shall not try to set out precisely what any of these philosophers thought about self-knowledge; I cite them simply as proponents of the general view which I shall be examining (...) in this paper: namely, that each of us has a special epistemic authority about his own mental life. This view is still widely held, particularly in the form of the thesis that one's sincere avowals of current mental states are incorrigible, i.e., such that, necessarily, no one ever has overriding reason to think them false. (shrink)

“ The doubtful story of successive events.” With this contemptuous phrase1 Bernard Bosanquet brushed aside the claim of history to be considered a study deserving the attention of a thoughtful mind. Unsatisfactory in form, because never rising above uncertainty; unsatisfactory in matter, because always concerned with the transitory, the successive, the merely particular as opposed to the universal; a chronicle of small beer, and an untrustworthy chronicle at that. Yet Bosanquet was well read in history; he had taught it as (...) a young man at Oxford, and his first published work had been a translation of a recent German book on the Athenian constitution; he knew that a vast amount of the world's best genius in the last hundred years had been devoted to historical studies; and when, late in life, he asked himself what it came to, that was all he could say. (shrink)

This chapter contains sections titled: Introduction What is Chemistry about? Is Chemistry Reducible to Physics? Are There Fundamental Limits to Chemical Knowledge? Is Chemical Research Ethically Neutral? Conclusion References.

The “happy fish” passage concluding the “Autumn Floods” chapter of the Classical Chinese text known as the Zhuangzi has traditionally been seen to advance a form of relativism which precludes objectivity. My aim in this paper is to question this view with close reference to the passage itself. I further argue that the central concern of the two philosophical personae in the passage – Zhuangzi and Huizi – is not with the epistemic standards of human judgements (the established view since (...) Hansen, “The Relatively Happy Fish”), but with the more basic problem of species-specific perspectives. On my reading, Zhuangzi’s emphatic positionality in the passage – on the dam, accompanied by his friend Huizi – plausibly suggests a circumspect reflection on the limitedness of human knowledge. It is significant that Zhuangzi’s knowledge of fish happiness is avowedly from a certain place, and not absolute. But there is still a sense in which this view is objective: namely, insofar as it adequately accounts for an inherently human perspective on the world. I call this modest form of relativism ‘Species Relativism’, which, crucially, leaves room for objectivity, even though a fully objective (i.e. absolute) view of the world is not accessible to humans. (shrink)

James M. Robins, Richard Scheines, Peter Spirtes, and Larry Wasserman. The Limits of Causal Knowledge.

Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes. Yanofsky (...) describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known. Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there. (shrink)

Theories of chemistry have come to depend inescapably upon the framework provided by atomic physics. This is a dependency which is anchored upon the ability within quantum theory — in particular since the wave mechanics of Schrödinger — to account for chemical bonding by the pairing of electrons, the stability of their resulting structures, and thereby to provide a basis from which to deal with chemical behavior generally. The optimism generated fifty years ago by the initial attempts to (...) apply this framework1 has bolstered the supposition, within the sciences, that chemistry is exclusively an experimental science, it has no theory except what it borrows from atomic physics. It seems to have established, within philosophy, so secure an example of intertheoretic reduction that however often we hear it cited, it remains a case rarely, if ever, examined. (shrink)

Chapter 1 An Essay on the Limits of Human Knowledge “I am you and you are I, and where you are, I also will be, and I am dispersed among all things. Where you choose you will find me, and, finding me, you will find yourself.

With his talk on the limits of natural knowledge in 1872 ("Ignorabimus! We will never know!"), Emil du Bois-Reymond stirred up a controversy (the Ignorabimus-Streit), which spread widely beyond German-speaking countries. It concerned the very possibility to set boundaries to knowledge, the development of the sciences, their attainable results, and concept formation. In this volume, the philosophical value of the Ignorabimus controversy is critically examined. The historical matter and its theoretical implications are assessed with regard to the (...) mutual relationships between philosophy and the sciences in the 19th century and beyond. (shrink)

In considering whether medical miracles occur, the limits of epistemology bring us to confront our metaphysical worldview of medicine and nature in general. This raises epistemological questions of a higher order. David Hume’s understanding of miracles as violations of the laws of nature assumes that nature is completely regular, whereas doctrines such as C. S. Peirce’s "tychism" hold that there is an element of absolute chance in the workings of the universe. Process philosophy gives yet another view of the (...) working of nature. Physicians have no epistemological grounds for declaring any cure to be miraculous. Miracles are theological (or philosophical) entities, and not medical entities. All physicians can do is to determine whether or not a cure is scientifically inexplicable according to the current epistemological standards of medical science. (edited). (shrink)

Modal agnosticism is the view that we must be agnostic about whether things could have turned out differently. I argue that claims about unrealised possibilities are not justified by our modal intuitions, nor are they justified by any of the means proposed by philosophers. It follows that we do not have merely metaphysical modal knowledge, and that we must adopt modal agnosticism.

The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show (...) that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Godel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field. (shrink)

In his medical and scientific works John Wesley provided an interpretation of the universe that was structured, though not pre-ordained, by God. The empirical method he adopted was measured in terms of efficacy and judged according to rationalistic standards. Its practical success, however, was used by Wesley to underpin his vocation of practical piety, which developed out of a holistic view of nature inspired by the spiritualism of Primitive Christianity. Accordingly, the providential ordering of Man and nature meant that safeguarding (...) physical health became a spiritual act, though Wesley separated the discourse of religion and terminology of medicine. This distinction was essential because it ensured intellectual integrity whilst leaving a protective space for religious faith. He made this move on the one hand but saw no contradiction in bringing the discourses of religion and medicine together to serve his mission. For Wesley, social and personal improvement did not rely exclusively on enlightened thinking or religious faith. Rather it depended on showing how rationalism and faith could display separate strengths within an overall framework of holism. (shrink)

This paper investigates the emergence, in the second part of the 17th century, of a new body of experimental knowledge dealing with the chemical transformations of water taking place in plants. We call this body of experimental knowledge a “chemical history of vegetation.” We show that this chemical natural history originated, in terms of recipes and methods of investigation, in the works of Francis Bacon and that it was constructed in accordance with Bacon's precepts for (...) putting together natural and experimental histories. Our paper covers a wide array of experimental investigations, carried out by people with different backgrounds, theoretical assumptions, and metaphysical allegiances (Thomas Browne, Robert Sharrock, Robert Boyle, Nehemiah Grew, John Beale, and John Evelyn). We claim that, despite their differences, these naturalists had a lot in common. First, they treated plants as laboratories of chemical investigation. Second, they used the experiments with plants to develop tools, hypotheses, and operational concepts, which travelled from one naturalist to the other, even when their respective explanatory vocabularies were widely different. Third, we show that some of them also manifested an interest in defining and clarifying the limits and structure of this new body of experimental knowledge, displaying, thus, a certain disciplinary unity. (shrink)

Know Thyself: The Value and Limits of Self-Knowledge takes the reader on tour of the nature, value, and limits of self-knowledge. Mitchell S. Green calls on classical sources like Plato and Descartes, 20th-century thinkers like Freud, recent developments in neuroscience and experimental psychology, and even Buddhist philosophy to explore topics at the heart of who we are. The result is an unvarnished look at both the achievements and drawbacks of the many attempts to better know one's (...) own self. Key topics in this volume include: Knowledge - what it means to know, the link between wisdom and knowledge, and the value of living an "examined life" Personal identity - questions of dualism, bodily continuity, and personhood The unconscious - including the kind posited by psychoanalysis as well as the form proposed by recent research on the so-called adaptive unconscious Free will - if we have it, and the recent arguments from neuroscience challenging it Self-misleading - the ways we willfully deceive ourselves, and how this relates to empathy, peer disagreement, implicit bias, and intellectual humility Experimental psychology - considerations on the automaticity of emotion and other cognitive processes, and how they shape us This book is designed to be used in conjunction with the free 'Know Thyself' MOOC created through collaboration of the University of Connecticut's Project on Humility and Conviction in Public Life, and the University of Edinburgh's Eidyn research centre, and hosted on the Coursera platform. The book is also suitable as a text for interdisciplinary courses in the philosophy of mind or self-knowledge, and is highly recommended for anyone looking for a short overview of this fascinating topic. (shrink)

A fascinating exploration into the 125 most important milestones in philosophy, all in one handy book perfect for keeping on your bedside table or carrying wherever you go. Now is the perfect time to expand your knowledge and learn something new or delve deeper into a topic you've always been interested in. With 125 concise, informative, and entertaining entries, The Bedside Book of Philosophy explores the key theories, great insights, thought-provoking questions, influential personalities, and seminal publications in the field (...) over the millennia. Gregory Bassham covers a wide range of topics and cultures--from Confucian ethics and Plato's theory of forms to Occam's Razor, Hume's A Treatise of Human Nature, existentialism, feminist philosophy, Social Darwinism, and The Good Place--all in an accessible, conversational voice. Includes 75 black-and-white illustrations throughout. (shrink)

It is argued that the evolution of fundamental microphysics throughout the twentieth century is characterised by two interrelated developments. On the one hand, the experimental signatures which confirm theoretical statements are moving towards the fringes of the phenomenal world and, at the same time, leave increasingly wide spaces for entirely theoretical reasoning with little or no empirical interference. On the other hand, assessments of limitations to scientific underdetermination gain importance within the theoretical process.

In this paper I investigate the relationship between vernacular kind terms and specialist scientific vocabularies. Elsewhere I have developed a defence of realism about the chemical elements as natural kinds. This defence depends on identifying the epistemic interests and theoretical conception of the elements that have suffused chemistry since the mid-eighteenth century. Because of this dependence, it is a discipline-specific defence, and would seem to entail important concessions to pluralism about natural kinds. I argue that making this kind of (...) concession does not imply that vernacular kind terms have independent application conditions. Nor does it preclude us saying that chemists, with their particular epistemic interests, have discovered the underlying nature of water, the stuff that is named and thought about in accordance with the practical interests of everyday life. There are limits to pluralism. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:382 HISTORY OF PHILOSOPHY the spiritual effort of all mankind. Many so-called historic events, he was convinced, will in the end be "as written in water," but the work of the human "spirit," however limited at any given time, is accumulative and helps prepare a better future. It seems fitting to close this review with the concluding words of high commendation addressed to him by the Argentinian Society of (...) Writers on the occasion of the appearance of the Theory of Man: "Se premia a un hombre, a una obra, a una conducta." (We are paying homage to a man, a work, a noble conduct.) COR~ELI~:S KRUS~ Wesleyan University The Knowledge o] Man. Selected Essays. By Martin Buber. Edited with an Introduction by Maurice Friedman. Translated by Maurice Friedman and Ronald Gregor Smith. (New York: Harper Torchbooks, The Cloister Library, TB 135H. Pp. 186. $1.45.) The present volume contains the English translations, previously published, of six anthropological essays of Martin Buber, which had appeared originally in German. They are: Distance and Relation (1950), Elements of the Interhuman (1954), What is Common to All (1956), The Word that is Spoken (1960), Guilt and Guilt Feelings (1957), Man and his Image-Work (1955). As an Appendix has been added the unpublished text of a discussion between the late Martin Buber and the psychologist Carl R. Rogers, in April 1957. An introductory Essay by Maurice S. Friedman intends to set these essays in the context of Buber's philosophy of dialogue and "to show their interrelations and their significance for other fields of thought" (p. 7). Both the Introductory Essay and the translated texts had been seen by Buber before going to the press. Broadly speaking, these essays concern the distinctive features of man, and the reality of the dazwischen (p. 12), translated as "there in-between," "the between" or "betweenness" (p. 107): between man and reality (art), and between man and man (the interhuman in dialogue, word and language, guilt and psychotherapy). No specific texts on religion and knowledge have been included in this collection, its purpose being to present Buber's "philosophical anthropology" (p. 7). One may speak of a synthesis of Buber's view of man, as it comes out in this volume. Man is constituting "a special category of being" (60), by being capable of entering into living relations; this happens in the sphere of "the between," in particular the interhuman, the unfolding of which is "the dialogicaI" (p. 75). Here the "spokenness" of the word has its place (p. 112), here are found the different forms of encounter from which the human "selves" emerge after "a bold swinging...into the life of the other" (p. 81) and making each other "present" through "imagining" the real in each other (p. 70). There is the permanent "temptation to... take refuge in the pseudo security of the world of It, the world of ordered objectivity and private subjectivity" (Friedman, p. 23). But there is also the "common world" (cosmos) as built by "common speech-with-meaning" (logos) (Friedman, p. 40); this is the world of the We (pp. 107-108). Buber dismisses the annihilation of the human person in the dream and sleep of the East (pp. 91-96), the "situationless" and "uncommunal" chemical holidays of Aldous Huxley (p. 100), the solipsism and panpsychism of C. G. Jung (p. 124-125) : by all of these "the pure duty and responsibility of waking togetherness" (p. 91) has been forsaken. Of particular interest are Friedman's pages concerning Buber's view of the unconscious (pp. 32-38): they replace an essay which Buber had intended to write on the subject. In this connection the essay on existential guilt to oneself and to others is illuminating ; this guilt is "as something of an ontic character" (p. 123), and only a--"for the man of our age" (p. 138)--difficult self-illumination can hereby give insight and open the door into "the identity of the human person as such with himself" (p. 147). Also, the discussion on psychotherapy should be mentioned, where Buber puts his finger on "this dialogue bounded by tragedy" (p. 174) in which "You are not equals and cannot... (shrink)

Consider the laws of nature—the laws of physics, for example. One familiar philosophical question about laws is this: what is it to be a law of nature? More specifically, is a law of nature a regularity, or a generalization stating a regularity? Or is it something else? Another philosophical question is: how, and to what extent, can we have knowledge of the laws of nature? I am interested here in Kant's answers to these questions, and their place within his (...) broader theoretical philosophy during the period spanning from the first to the third Critique. (shrink)

Draws on interviews with many of the worlds leading scientists to discuss the possibility that humankind has reached the limits of scientific knowledge.

Mary learns all the physical facts that one can learn by watching lectures on black-on-white television. According to Jackson, Mary learns new facts when she leaves the room and has color experiences, and that this undermines physicalism. Physicalists have responded by denying the new facts thesis; they argue, she acquires abilities, acquaintance knowledge, or new guises. I argue that the NFT is more plausible than any of the proposed alternatives. I also argue that the NFT does not undermine physicalism (...) unless physicalism entails that all physical facts are discursively learnable, and that the latter entailment is questionable. (shrink)

Wilhelm Vischer's 1877 paper on the limits of historical knowledge expressed clearly, effectively, and with moderation what had become a minority viewpoint in his time. Vischer's deep sense and acceptance of the limits of every human enterprise was characteristic of the historical and philological culture of Basle. To the well-born, deeply conservative citizen, the notion of limits had to be fundamental: not only the property and privileges of his class, and the freedom it required in order (...) to pursue its economic and spiritual interests, but the continued existence of his small homeland as an autonomous polity and the survival of Christian religion and morality in a scientific age depended, in his eyes, on respect for boundaries and frontiers. To the champion of the German Empire, on the other hand, limits, zones of autonomy, and particularisms of every kind were obstacles to be overcome. (shrink)

Traditionally the study of chemical elements has been limited to well-known concepts like the periodic properties and chemical families. However, current information shows a new and rich language that allows us to observe relations in the elements that are not limited to their positions in the table. These relations are evident when reactions are represented through networks, as in the case of similar reactivity of organic compounds sharing functional groups. For the past two decades, it has been argued (...) that network reactions may be considered the core of chemistry. This network, which constitutes the basic set of chemical knowledge, provides the basis for classification and delivers routes to obtain new and known substances. In order to provide an example, we constructed and analyzed a network of chemical elements from the formation of stoichiometric binary compounds, providing to the chemistry, a formal structure of extracting the chemical knowledge. Thus, we explored all possible presence of relationships among elements. Concepts like degree centrality and centralization, the relationships among metals, semimetal and nonmetal classes, blocks, and chemical families were analyzed. We observed that the network structure had a small core set of elements of high reactivity and also a peripheral set of elements of low reactivity. The classes, blocks and families show the following increasing order of reactivity: nonmetals > semimetals > metals; p > s > d > f; and families: boron, carbon, pnictogens, chalcogens, halogens, lanthanoids > other families. This example shows, from the network perspective, that the elements and their classifications exhibit properties such as the reactivity, order, and similarity. (shrink)

The limits of ignorance Content Type Journal Article Pages 1-2 DOI 10.1007/s11016-011-9571-z Authors Constantine Sandis, Westminster Institute of Education, Oxford Brookes University, Harcourt Hill Campus, Oxford, OX2 9AT UK Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.