17263
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Why do rationalists accept Sufficient Reason, when it denies the existence of fundamental facts? [Correia/Schnieder]
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Full Idea:
What is most puzzling about the rationalist tradition is the steadfast certainty with which the Principle of Sufficient Reason was often accepted, since it in effect denies that there are fundamental facts.
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From:
Correia,F/Schnieder,B (Grounding: an opinionated introduction [2012], 2.2)
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A reaction:
A very simple and interesting observation. The principle implies either a circle of reasons, or an infinite regress of reasons. Nothing can be labelled as 'primitive' or 'foundational' or 'given'. The principle is irrational!
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9545
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Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]
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Full Idea:
Near the end of his life, Frege completely abandoned his logicism, and came to the conclusion that the source of our arithmetical knowledge is what he called 'the Geometrical Source of Knowledge'.
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From:
report of Gottlob Frege (Sources of Knowledge of Mathematics [1922]) by Charles Chihara - A Structural Account of Mathematics Intro n3
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A reaction:
We have, rather crucially, lost touch with the geometrical origins of arithmetic (such as 'square' numbers), which is good news for the practice of mathematics, but probably a disaster for the philosophy of the subject.
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17270
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Is existential dependence by grounding, or do grounding claims arise from existential dependence? [Correia/Schnieder]
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Full Idea:
We may take existential dependence to be a relation induced by certain cases of grounding, but one may also think that facts about existential dependence are prior to corresponding ground claims, and in fact ground those claims.
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From:
Correia,F/Schnieder,B (Grounding: an opinionated introduction [2012], 4.3)
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A reaction:
I would vote for grounding, since dependence seems more abstract, and seems to demand explanation, whereas grounding seems more like a feature of reality, and to resist further intrinsic explanation (on the whole).
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17267
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The identity of two facts may depend on how 'fine-grained' we think facts are [Correia/Schnieder]
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Full Idea:
There is a disagreement on the issue of factual identity, concerning the 'granularity' of facts, the question of how fine-grained they are.
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From:
Correia,F/Schnieder,B (Grounding: an opinionated introduction [2012], 3.3)
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A reaction:
If they are very fine-grained, then no two descriptions of a supposed fact will capture the same details. If we go broadbrush, facts become fuzzy and less helpful. 'Fact' was never going to be a clear term.
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2748
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A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]
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Full Idea:
Nozick says Gettier cases aren't knowledge because the proposition would be believed even if false. Proper justification must be more sensitive to the truth ("track the truth").
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From:
report of Robert Nozick (Philosophical Explanations [1981], 3.1) by Jonathan Dancy - Intro to Contemporary Epistemology 3.1
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A reaction:
This is a bad idea. I see a genuine tree in my garden and believe it is there, so I know it. That I might have believed it if I was in virtually reality, or observing a mirror, won't alter that.
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