Combining Philosophers

All the ideas for Anaxarchus, Nicholas Bourbaki and Edward Craig

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
     Full Idea: From the axiomatic point of view, mathematics appears as a storehouse of abstract forms - the mathematical structures.
     From: Nicholas Bourbaki (The Architecture of Mathematics [1950], 221-32), quoted by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.79
     A reaction: This seems to be the culmination of the structuralist view that developed from Dedekind and Hilbert, and was further developed by philosophers in the 1990s.
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
We have the concept of 'knowledge' as a label for good informants [Craig, by Fricker,M]
     Full Idea: Craig's explanation of why we have the concept of knowledge is that it arises from our fundamental need to distinguish good informants.
     From: report of Edward Craig (Knowledge and the State of Nature [1990]) by Miranda Fricker - Epistemic Injustice 6.1
     A reaction: That is, why do we have the label 'knowledge', in addition to 'true belief'? This strikes me as a good explanation which had never occurred to me. Every social group needs to identify members who have some authority in knowledge of various areas of life.
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
     Full Idea: Anaxarchus said that he was not even sure that he knew nothing.
     From: report of Anaxarchus (fragments/reports [c.340 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 09.10.1