Combining Texts

All the ideas for 'The Gettier Problem', 'Letter to Frege 29.12.1899' and 'The Birth of Tragedy'

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3 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
     Full Idea: For Nietzsche philosophy begins in horror - existence is something both horrible and absurd.
     From: report of Friedrich Nietzsche (The Birth of Tragedy [1871]) by Keith Ansell Pearson - How to Read Nietzsche Ch.1
     A reaction: A striking contrast to Aristotle (Idea 549). Personally I think my philosophy begins with confusion. Not that I endorse a Wittgenteinian view, that we are just trying to cure ourselves of self-inflicted wounds. Life is very complex and we are bit simple.
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
If axioms and their implications have no contradictions, they pass my criterion of truth and existence [Hilbert]
     Full Idea: If the arbitrarily given axioms do not contradict each other with all their consequences, then they are true and the things defined by the axioms exist. For me this is the criterion of truth and existence.
     From: David Hilbert (Letter to Frege 29.12.1899 [1899]), quoted by R Kaplan / E Kaplan - The Art of the Infinite 2 'Mind'
     A reaction: If an axiom says something equivalent to 'fairies exist, but they are totally undetectable', this would seem to avoid contradiction with anything, and hence be true. Hilbert's idea sounds crazy to me. He developed full Formalism later.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]
     Full Idea: A Gettier case contains a belief which is true and well justified without being knowledge. Its justificatory support is also fallible, ...and there is considerable luck in how the belief combnes being true with being justified.
     From: Stephen Hetherington (The Gettier Problem [2011], 5)
     A reaction: This makes luck the key factor. 'Luck' is a rather vague concept, and so the sort of luck involved must first be spelled out. Or the varieties of luck that can produce this outcome.