Online research in philosophy

It is often assumed that empiricism in the philosophy of mathematics was laid to rest by Frege’s stinging attack on Mill. I will argue that empiricism is alive and well and able to deal with almost everything that’s thrown at it. In particular, I will show how the brand of empiricism I subscribe to is able to give a satisfying account of mathematical knowledge. This brand of mathematical empiricism has a rather curious feature though: some parts of mathematics (e.g., analysis, modern algebra, ZFC set theory) are taken to be theories about which we have genuine mathematical knowledge, while others (e.g., set theory with large cardinal axioms) are (following Quine) treated as “mathematical recreation”. I will defend this demarcation against some recent criticisms from Mary Leng.

The branch of philosophy to which these works belong is that which goes by the name of the Theory of Knowledge. And what the Theory of Knowledge is supposed ...

The regress problem and foundationalism -- Externalist accounts of justification -- In search of coherentism -- Back to foundationalism -- The conceptualization of sensory experience and the problem of the external world -- Knowledge and justification -- Does knowledge have foundation -- Skepticism and the internal/external divide -- A virtue epistemology -- Reply to Sosa -- Reply to Bonjour.

General introduction -- Part one: What is knowledge? -- Part two: What is the value of knowledge? -- Part three: What evidence do we have? -- Part four: How should we distribute our confidence? -- Part five: What is it to be justified in believing something? -- Part six: What is the structure of justification and knowledge? -- Part seven: What is the nature of the epistemic thought? -- Part eight: What are the sources of knowledge? -- Part nine: What can we know? -- Part ten: Is knowledge in the eye of the beholder?

Contemporary debates in epistemology devote much attention to the nature of knowledge, but neglect the question of its sources. This book focuses on the latter, especially on the question of innateness. Carruthers' aim is to transform and reinvigorate contemporary empiricism, while also providing an introduction to a range of issues in the theory of knowledge. He gives a lively presentation and assessment of the claims of classical empiricism, particularly its denial of substantive a priori knowledge and of innate knowledge. He argues that we would be right to reject the substantive a priori but not innateness, and then presents a novel account of the main motivation behind empiricism, which leaves contemporary empiricists free to accept innate knowledge and concepts. Carruthers closes with a discussion of scepticism, arguing that acceptance of innate concepts may lead to a decisive resolution of the problem in favor of realism.

Nelson, L. The impossibility of the "Theory of knowledge."--Moore, G. E. Four forms of skepticism.--Lehrer, K. Skepticism & conceptual change.--Quine, W. V. Epistemology naturalized.--Rozeboom, W. W. Why I know so much more than you do.--Price, H. H. Belief and evidence.--Lewis, C. I. The bases of empirical knowledge.--Malcolm, N. The verification argument.--Firth, R. The anatomy of certainty.--Chisholm, R. M. On the nature of empirical evidence.--Meinong, A. Toward an epistemological assessment of memory.--Brandt, R. The epistemological status of memory beliefs.--Malcolm, N. A definition of factual memory.--Martin, C. B. and Deutscher, M. Remembering.--Ayer, A. J. Basic propositions.--Reichenbach, H. Are phenomenal reports absolutely certain?--Goodman, N. Sense and certainty.--Lewis, C. I. The given element in empirical knowledge.--Alston, W. Varieties of privileged access.--Schlick, M. The foundation of knowledge.--Russell, B. Epistemological premisses, basic propositions, and factual premisses.--Firth, R. Coherence, certainty, and epistemic priority.--Sellars, W. Empiricism and the philosophy of mind.--Quinton, A. The foundations of knowledge.

General introduction -- What is knowledge? -- What is the value of knowledge? -- What evidence do we have? -- How should we distribute our confidence? -- What is it to be justified in believing something? -- What is the structure of justification and knowledge? -- What is the nature of the epistemic 'ought'? -- What are the sources of knowledge? -- What can we know? -- Is knowledge in the eye of the beholder?

Having assigned experience this exclusive role in justification, empiricists then have a range of views concerning the character of experience, the semantics of our claims about unobservable entities, the nature of empirical confirmation, and the possibility of non-empirical warrant for some further class of claims, such as those accepted on the basis of linguistic or logical rules. Given the definitive principle of their position, empiricists can allow that we have knowledge independent of experience only where what is known is not some objective fact about the world, but something about our way of conceptualizing or describing things. Some empiricists say we have knowledge of verbal equivalences or trivialities; some argue that any non-empirical tenets are not even properly called knowledge, but should be seen as notions accepted on pragmatic rather than properly epistemic grounds. What no empiricist will allow is substantive a priori knowledge: according to empiricism we have no pure rational insight into real necessities or the inner structure of nature, but must rely on the deliverances of our senses for all of our information about external reality. Some versions of empiricism argue against the very notion of real necessities or metaphysical structure behind the phenomena; other versions take a more agnostic approach, arguing that if there is a metaphysical structure behind the phenomena it is either out of our epistemic reach, or known only to the extent that it can be grasped through experience, rather than through rational reflection.