This volume will be an essential resource for anyone working in the central areas of philosophy, and the starting point for future research in this fascinating ...

Attempts to indentify the fundamental concepts of language, argues that the study of language reveals hidden facts about the mind, and looks at the impact of propaganda.

Moving beyond both realist and anti-realist accounts of mathematics, Shapiro articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.

David Hume's Treatise of Human Nature, composed before the author was twenty-eight years old, was published in 1739 and 1740. In revising the late L.A. Selby-Bigge's edition of Hume's Treatise Professor Nidditch corrected verbal errors and took account of Hume's manuscript amendments. He also supplied the text of theof the Treatise following the original 1740 edition and provided an apparatus of variant readings.

"Intuition" has perhaps been the least understood and the most abused term in philosophy. It is often the term used when one has no plausible explanation for the source of a given belief or opinion. According to some sceptics, it is understood only in terms of what it is not, and it is not any of the better understood means for acquiring knowledge. In mathematics the term has also unfortunately been used in this way. Thus, intuition is sometimes portrayed as (...) if it were the Third Eye, something only mathematical "mystics", like Ramanujan, possess. In mathematics the notion has also been used in a host of other senses: by "intuitive" one might mean informal, or non-rigourous, or visual, or holistic, or incomplete, or perhaps even convincing in spite of lack of proof. My aim in this book is to sweep all of this aside, to argue that there is a perfectly coherent, philosophically respectable notion of mathematical intuition according to which intuition is a condition necessary for mathemati cal knowledge. I shall argue that mathematical intuition is not any special or mysterious kind of faculty, and that it is possible to make progress in the philosophical analysis of this notion. This kind of undertaking has a precedent in the philosophy of Kant. While I shall be mostly developing ideas about intuition due to Edmund Husser! there will be a kind of Kantian argument underlying the entire book. (shrink)

Excerpt from A History of Formal Logic In this edition of the most considerable history Of formal logic yet published, the Opportunity has Of course been taken to make some adjustments seen to be necessary in the original, with the author's full concurrence. Only in 36, however, has the numeration of cited passages been altered owing to the introduction of new matter. Those changes are as follows. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. (...) Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

Robert Hanna presents a fresh view of the Kantian and analytic traditions that have dominated continental European and Anglo-American philosophy over the last two centuries, and of the connections between them. But this is not just a study in the history of philosophy, for out of this emerges Hanna's original approach to two much-contested theories that remain at the heart of contemporary philosophy. Hanna puts forward a new 'cognitive-semantic' interpretation of transcendental idealism, and a vigorous defense of Kant's theory of (...) analytic and synthetic necessary truth, making this compelling reading for all who are interested in these fundamental philosophical issues. (shrink)

Edmund Husserl has argued that we can intuit essences and, moreover, that it is possible to formulate a method for intuiting essences. Husserl calls this method 'ideation'. In this paper I bring a fresh perspective to bear on these claims by illustrating them in connection with some examples from modern pure geometry. I follow Husserl in describing geometric essences as invariants through different types of free variations and I then link this to the mapping out of geometric invariants in modern (...) mathematics. This view leads naturally to different types of spatial ontologies and it can be used to shed light on Husserl's general claim that there are different ontologies in the eidetic sciences that can be systematically related to one another. The paper is rounded out with a consideration of the role of ideation in the origins of modern geometry, and with a brief discussion of the use of ideation outside of pure geometry. (shrink)

Edmund Husserl has argued that we can intuit essences and, moreover, that it is possible to formulate a method for intuiting essences. Husserl calls this method ‘ideation’. In this paper I bring a fresh perspective to bear on these claims by illustrating them in connection with some examples from modern pure geometry. I follow Husserl in describing geometric essences as invariants through different types of free variations and I then link this to the mapping out of geometric invariants in modern (...) mathematics. This view leads naturally to different types of spatial ontologies and it can be used to shed light on Husserl's general claim that there are different ontologies in the eidetic sciences that can be systematically related to one another. The paper is rounded out with a consideration of the role of ideation in the origins of modern geometry, and with a brief discussion of the use of ideation outside of pure geometry. What would be the study that would draw the soul away from the world of becoming to the world of being?… Geometry and arithmetic would be among the studies we are seeking … a philosopher must learn them because he must arise out of the region of generation and lay hold on essence or he can never become a true reckoner … they facilitate the conversion of the soul itself from the world of generation to essence and truth… they are knowledge of that which always is and not of something which at some time comes into being and passes away. (shrink)

This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is logic (logicism), (...) the view that the essence of mathematics is the rule-governed manipulation of characters (formalism), and a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism). Finally, Part IV brings the reader up-to-date with a look at contemporary developments within the discipline. This sweeping introductory guide to the philosophy of mathematics makes these fascinating concepts accessible to those with little background in either mathematics or philosophy. (shrink)

Over the last few decades Michael Dummett developed a rich program for assessing logic and the meaning of the terms of a language. He is also a major exponent of Frege's version of logicism in the philosophy of mathematics. Over the last decade, Neil Tennant developed an extensive version of logicism in Dummettian terms, and Dummett influenced other contemporary logicists such as Crispin Wright and Bob Hale. The purpose of this paper is to explore the prospects for Fregean logicism within (...) a broadly Dummettian framework. The conclusions are mostly negative: Dummett's views on analyticity and the logical/non-logical boundary leave little room for logicism. Dummett's considerations concerning manifestation and separability lead to a conservative extension requirement: if a sentence S is logically true, then there is a proof of S which uses only the introduction and elimination rules of the logical terms that occur in S. If basic arithmetic propositions are logically true-as the logicist contends-then there is tension between this conservation requirement and the ontological commitments of arithmetic. It follows from Dummett's manifestation requirements that if a sentence S is composed entirely of logical terminology, then there is a formal deductive system D such that S is analytic, or logically true, if and only if S is a theorem of D. There is a deep conflict between this result and the essential incompleteness, or as Dummett puts it, the indefinite extensibility, of arithmetic truth. (shrink)

As Louisiana and Cuba emerged from slavery in the late nineteenth century, each faced the question of what rights former slaves could claim. Degrees of Freedom compares and contrasts these two societies in which slavery was destroyed by war, and citizenship was redefined through social and political upheaval. Both Louisiana and Cuba were rich in sugar plantations that depended on an enslaved labor force. After abolition, on both sides of the Gulf of Mexico, ordinary people-cane cutters and cigar workers, laundresses (...) and labor organizers-forged alliances to protect and expand the freedoms they had won. But by the beginning of the twentieth century, Louisiana and Cuba diverged sharply in the meanings attributed to race and color in public life, and in the boundaries placed on citizenship. Louisiana had taken the path of disenfranchisement and state-mandated racial segregation; Cuba had enacted universal manhood suffrage and had seen the emergence of a transracial conception of the nation. What might explain these differences? Moving through the cane fields, small farms, and cities of Louisiana and Cuba, Rebecca Scott skillfully observes the people, places, legislation, and leadership that shaped how these societies adjusted to the abolition of slavery. The two distinctive worlds also come together, as Cuban exiles take refuge in New Orleans in the 1880s, and black soldiers from Louisiana garrison small towns in eastern Cuba during the 1899 U.S. military occupation. Crafting her narrative from the words and deeds of the actors themselves, Scott brings to life the historical drama of race and citizenship in postemancipation societies. (shrink)

I survey recent work on mental causation. The discussion is conducted under the twin presumptions that mental states, including especially what subjects believe and desire, causally explain what subjects do, and that the physical sciences can in principle give a complete explanation for each and every bodily movement. I start with sceptical discussions of various views that hold that, in some strong sense, the causal explanations offered by psychology are autonomous with respect to those offered by the physical sciences. I (...) then proceed to views that see the problem of mental causation as that of identifying where in the physical story about us and our world lie the parts that in effect tell us abut mental causation - the kind of position that is pretty much standard in the cognitive science community - and consider issues raised by various forms of functionalism and externalism. The general thrust of my discussion is sympathetic to the story about mental causation suggested by those type-type versions of the mind-brain identity theory that allow for the possiblity of multiple realisability. I include a brief discussion of how a map-system account of belief, by contrast with a language of thought one, should understand explanations of behaviour in terms of what a subject believes. (shrink)

Edmund Husserl was one of the very first to experience the direct impact of challenging problems in set theory and his phenomenology first began to take shape while he was struggling to solve such problems. Here I study three difficulties associated with Frege's use of sets that Husserl explicitly addressed: reference to non-existent, impossible, imaginary objects; the introduction of extensions; and 'Russell's paradox'.I do so within the context of Husserl's struggle to overcome the shortcomings of set theory and to develop (...) his own theory of manifolds. I define certain issues involved and discuss how Husserl's theory of manifolds might confront them. In so doing I hope to help bring Husserl's theories about sets and manifolds out of the realm of abstract theorizing and prompt further exploration of uncharted philosophical territory rich in philosophical implications. (shrink)

In this essay I revisit Kant's much-criticized views on arithmetic. In so doing I make a case for the claim that his theory of arithmetic is not in fact subject to the most familiar and forceful objection against it, namely that his doctrine of the dependence of arithmetic on time is plainly false, or even worse, simply unintelligible; on the contrary, Kant's doctrine about time and arithmetic is highly original, fully intelligible, and with qualifications due to the inherent limitations of (...) his conceptions of arithmetic and logic, defensible to an important extent. (edited). (shrink)

Our visual experience seems to suggest that no continuous curve can cover every point of the unit square, yet in the late 19th century Giuseppe Peano proved that such a curve exists. Examples like this, particularly in analysis received much attention in the 19th century. They helped to instigate what Hans Hahn called a ‘crisis of intuition’, wherein visual reasoning in mathematics came to be thought to be epistemically problematic. Hahn described this ‘crisis’ as follows : " Mathematicians had for (...) a long time made use of supposedly geometric evidence as a means of proof in much too naive and much too uncritical a way, till the unclarities and mistakes that arose as a result forced a turnabout. Geometrical intuition was now declared to be inadmissible as a means of proof … "Avoiding geometrical evidence, Hahn continued, mathematicians aware of this crisis pursued what he called ‘logicization’, ‘when the discipline requires nothing but purely logical fundamental concepts and propositions for its development’. On this view, an epistemically ideal mathematics would minimize, or avoid altogether, appeals …. (shrink)

Darstellung des Noema in 12 Thesen.\nverwendete Textstellen: Ideen 1: S. 203, 22-23; S. 204, 20-21; S. 357, 19-20: Handlungen sind zielgerichtet. Dabei bedarf eines keines physischen Objekts. Husserl setzt and diese Stelle das Noema. Somit wird auch zielgerichtetes Handeln aufgrund einer Halluzination m{ö}glich, Zielgerichtet zu sein bedeutet ein Noema zu haben.\n1. Follesdal´sche These: Noema ist eine intensionale Entit{ä}t, eine Generalisierung des Begriffs Sinn/Bedeutung.\n2. These: Das Noema hat zwei Bestandteile, a) der noematische Sinn, der allen thetischen Handlungen (erinnern, sich vorstellen usw.) (...) gem{ä}{ß} desselben Objekts mit denselben Eigenschaften in derselben Gerichtetheit gemeinsam ist und b) die Gegebenheitsweise (hat auch Sinncharakter), die sich unterscheidet in Handlungen mit verschiedenem thetischen Charakter.\n3. These: Der noematische Sinn ergibt sich aus der Art und Weise, wie Bewu{ß}tsein zum Objekt in Relation steht.\n!! 4. These: Das Noema einer Handlung ist nicht das Objekt dieser Handlung\n5. These: Das Objekt einer Handlung ist eine Funktion des noematischen Sinns, d.h. mit einem bestimmten Noema kann nur ein Objekt korrespondieren.\n6. These: Jedoch k{ö}nnen mit einem bestimmten Objekt verschiedene Noemata korrespondieren. (z.B. kann ein Objekt das Ziel verschiedener thetischer Handlunge sein, etwa erinnern, wahrnehmen, daher:)\n6. These a): Mit einem bestimmten Objekt korrespondieren verschiedene noematische Sinne.\n7. These: Jede Handlung besteht aus nur einem Noema. Sie wird durch dieses Noema charakterisiert. (Umgekehrt trifft dies nicht zu.)\n8. These: Noemata sind abstrakte Entit{ä}ten. (Sinne sind nicht real. Sie sind bezogen auf Handlungen in tempor{ä}ren Intervallen.)\n9. These: Noemata werden nicht durch unsere Sinnesorgane wahrgenommen.\n10. These: Noemata gelangen durch ph{ä}nomenologische Reflektion ins Bewu{ß}tsein.\n11. These: Eine ph{ä}nomenologische Reflektion kann iterativ geschehen (ann{ä}herungsweise; in Schritte gegliedert). Dies ist so, weil schon die Korrespondenz zwischen Sinn und Objekt wieder ein Objekt ergibt. Es folgt ein unendlicher Regress.\nPhysische Objekte sind transzendent in dem Sinne, dass sie unendlich viele Noemata haben. Sinn kann sie nie ersch{ö}pfend erfassen.\nNoemata k{ö}nnen andererseits ein physisches Objekt repr{ä}sentieren in der Form, dass mehr intendiert wird als gesehen wird. So denkt man sich etwa bei einem Stuhl, von dem man nur zwei Beine sieht, die beiden {ü}brigen hinzu.\n12. These: Diese Muster der Vorherbestimmung bilden zusammen mit den Gegebenheitsweisen das Noema (s. These 2). (shrink)

De Muralt's ambition is to carry out such 'historical' inquiries in the form of a structural analysis of philosophy, which he regards as a rigorous philosophical discipline - that is, as a science.

In this paper I discuss Husserl's solution of the problem of imaginary elements in mathematics as presented in the drafts for two lectures hegave in Göttingen in 1901 and other related texts of the same period,a problem that had occupied Husserl since the beginning of 1890, whenhe was planning a never published sequel to Philosophie der Arithmetik(1891). In order to solve the problem of imaginary entities Husserl introduced,independently of Hilbert, two notions of completeness (definiteness in Husserl'sterminology) for a formal axiomatic (...) system. I present and discuss these notionshere, establishing also parallels between Husserl's and Hilbert's notions ofcompleteness. (shrink)

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument (...) for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct. (shrink)

This book does three main things. First, it defends mathematical platonism against the main objections to that view (most notably, the epistemological objection and the multiple-reductions objection). Second, it defends anti-platonism (in particular, fictionalism) against the main objections to that view (most notably, the Quine-Putnam indispensability objection and the objection from objectivity). Third, it argues that there is no fact of the matter whether abstract mathematical objects exist and, hence, no fact of the matter whether platonism or anti-platonism is true.

This entirely new translation of Critique of Pure Reason is the most accurate and informative English translation ever produced of this epochal philosophical text. Though its simple and direct style will make it suitable for all new readers of Kant, the translation displays an unprecedented philosophical and textual sophistication that will enlighten Kant scholars as well. This translation recreates as far as possible a text with the same interpretative nuances and richness as the original. The extensive editorial apparatus includes informative (...) annotation, detailed glossaries, an index, and a large-scale general introduction in which two of the world's preeminent Kant scholars provide both a succinct summary of the structure and argument of the Critique and a detailed account of its long and complex genesis. (shrink)

TO THE LOGICAL INVESTIGATIONS A DRAFT OF A PREFACE TO THE LOGICAL INVESTIGATIONS ( 1913) Edited by EUGEN FINK Translated with Introductions by PHILIP J. BOSSERT and CURTIS H. PETERS • MARTINUS NIJHOFF THE HAGUE 1975 © I975 by Martinus Nijhoff. The Hague. Netherlands All rights reserved. including the right to translate or to reproduce this book or parts thereof in any form ISBN-I3: 978-90-247-1711-8 e-ISBN-I3: 978-94-010-1655-1 DOl: 10. 1007/978-94-010-1655-1 TO HERBERT SPIEGELBERG ESTEEMED SCHOLAR, MENTOR, FRIEND ACKNOWLEDGEMENTS We would like (...) to express our thanks to H. L. Van Breda, director of the Husserl-Archiv (Louvain), for his approval and encouragement of this project, and to Professor Dr. Gerhart Husserl, Professor Dr. Eugen Fink and the editors of Tijdschrift voor Philosophie for their permission to undertake it. We also owe a debt of appreciation to Dr. Karl Schuhmann of the Catholic University of Louvain and to Dr. Elmar Holenstein, Dr. Edi Marbach and Mr. Rudolf Bernet of the Husserl-Archiv (Louvain) for their help in reading the original manuscripts and for putting their excellent knowledge of the Husserl "Nachlass" preserved at the Archives at our disposal. We especially wish to thank Professor Herbert Spiegelberg whose careful and critical reading of our manuscript at an earlier stage resulted in numerous suggestions for its improvement; and, last but not least, our wives, Jane and Pam, for their help in preparing the typescripts. TABLE OF CONTENTS Translator's Introductions XI I. HISTORICAL INTRODUCTION XI II. THEMATIC INTRODUCTION XX III. (shrink)

Here, Bob Hale and Crispin Wright assemble the key writings that lead to their distinctive neo-Fregean approach to the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the program and the contributions made to it by the various papers; a section explaining which issues most require further attention; and bibliographies of references and further useful sources. It will be recognized as the (...) most powerful presentation yet of a neo-Fregean program. (shrink)

This book makes available to the English reader nearly all of the shorter philosophical works, published or unpublished, that Husserl produced on the way to the phenomenological breakthrough recorded in his Logical Investigations of 1900-1901. Here one sees Husserl's method emerging step by step, and such crucial substantive conclusions as that concerning the nature of Ideal entities and the status the intentional `relation' and its `objects'. Husserl's literary encounters with many of the leading thinkers of his day illuminates both the (...) context and the content of his thought. Many of the groundbreaking analyses provided in these texts were never again to be given the thorough expositions found in these early writings. Early Writings in the Philosophy of Logic and Mathematics is essential reading for students of Husserl and all those who enquire into the nature of mathematical and logical knowledge. (shrink)

Two hundred years ago, J.M.W. Turner packed up two large leatherbound sketchbooks, pencils, and watercolors and set off for the north of England. When he returned from the tour that he regarded as one of the most important of his career, Turner had completed more than two hundred sketches - works that later became the basis of more than fifty major oil paintings and watercolors. For this illustrated book, David Hill has taken photographs of many of the actual sites Turner (...) sketched on his northern tour. The result is an look at the whole of Turner's creative process, from site to exhibited picture, and at the quality and intensity of the artist's experience. (shrink)

In Rationality and Logic, Robert Hanna argues that logic is intrinsically psychological and that human psychology is intrinsically logical. He claims that logic is cognitively constructed by rational animals and that rational animals are essentially logical animals. In order to do so, he defends the broadly Kantian thesis that all rational animals possess an innate cognitive "logic faculty." Hanna 's claims challenge the conventional philosophical wisdom that sees logic as a fully formal or "topic-neutral" science irreconcilably separate from the species- (...) or individual-specific focus of empirical psychology.Logic and psychology went their separate ways after attacks by Frege and Husserl on logical psychologism--the explanatory reduction of logic to empirical psychology. Hanna argues, however, that--despite the fact that logical psychologism is false--there is an essential link between logic and psychology. Rational human animals constitute the basic class of cognizers or thinkers studied by cognitive psychology; given the connection between rationality and logic that Hanna claims, it follows that the nature of logic is significantly revealed to us by cognitive psychology. Hanna 's proposed "logical cognitivism" has two important consequences: the recognition by logically oriented philosophers that psychologists are their colleagues in the metadiscipline of cognitive science; and radical changes in cognitive science itself. Cognitive science, Hanna argues, is not at bottom a natural science; it is both an objective or truth-oriented science and a normative human science, as is logic itself. (shrink)

Robert Hanna argues for the importance of Kant's theories of the epistemological, metaphysical, and practical foundations of the "exact sciences"--relegated to the dustbin of the history of philosophy for most of the 20th century. In doing so he makes a valuable contribution to one of the most active and fruitful areas in contemporary scholarship on Kant.

Can the straight line be analysed mathematically such that it does not fall apart into a set of discrete points, as is usually done but through which its fundamental continuity is lost? And are there objects of pure mathematics that can change through time? Mathematician and philosopher L.E.J. Brouwer argued that the two questions are closely related and that the answer to both is "yes''. To this end he introduced a new kind of object into mathematics, the choice sequence. But (...) other mathematicians and philosophers have been voicing objections to choice sequences from the start. This book aims to provide a sound philosophical basis for Brouwer's choice sequences by subjecting them to a phenomenological critique in the style of the later Husserl. (shrink)

Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.

In Embodied Minds in Action, Robert Hanna and Michelle Maiese work out a unified treatment of three fundamental philosophical problems: the mind-body problem, the problem of mental causation, and the problem of action. This unified treatment rests on two basic claims. The first is that conscious, intentional minds like ours are essentially embodied. This entails that our minds are necessarily spread throughout our living, organismic bodies and belong to their complete neurobiological constitution. So minds like ours are necessarily alive. The (...) second claim is that essentially embodied minds are self-organizing thermodynamic systems. This entails that our mental lives consist in the possibility and actuality of moving our own living organismic bodies through space and time, by means of our conscious desires. The upshot is that we are essentially minded animals who help to create the natural world through our own agency. This doctrine--the Essential Embodiment Theory--is a truly radical idea which subverts the traditionally opposed and seemingly exhaustive categories of Dualism and Materialism, and offers a new paradigm for contemporary mainstream research in the philosophy of mind and cognitive neuroscience. (shrink)

Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic (...) problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians. (shrink)

Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition (...) and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite. (shrink)