Fallibilism - Routledge Encyclopedia of Philosophy.
This looks at the epistemological question of Fallibilism vs infallibilism. It may be hard to understand without seeing it in person and hearing all the information added to the slides. Either way here is my wonderful philosophy 460 presentation.
Fallibilism is the philosophical doctrine that absolute certainty about knowledge is impossible; or at least that all claims to knowledge could, in principle, be mistaken.As a formal doctrine, it is most strongly associated with Charles Sanders Peirce, who used it in his attack on foundationalism, but it is already present in the views of early philosophers, Xenophanes, Socrates and Plato.
Perhaps the most important issue is to distinguish fallibilism from skepticism—the doctrine that no idea, belief, or claim is ever well justified or is definitely known. Generally, skepticism is thought to be a stronger claim than fallibilism. Skepticism implies that we should assert nothing, suspend all judgment, or doubt the reliability of the senses, whereas fallibilists generally accept.
What strength of evidence is required for knowledge? Ordinarily, we often claim to know something on the basis of evidence which doesn't guarantee its truth. For instance, one might claim to know that one sees a crow on the basis of visual experience even though having that experience does not guarantee that there is a crow (it might be a rook, or one might be dreaming).
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In this essay I have explored a number of dimensions of the philosophy of mathematics education, what it is, and what some of its implications for the classroom might be. The central concern is that of inquiring into and questioning some of the presuppositions underlying theories and research in mathematics education and the practices of teaching and learning mathematics.
Fallibilism: Evidence and Knowledge Jessica Brown Abstract. This book examines the prospects for infallibilism about knowledge, according to which one can know that p only if one has evidence which guarantees or entails that p. In particular, it focuses on the possibility of a non-sceptical infallibilism which rejects any kind of shifty view of knowledge, whether contextualist, relativist, or.