Combining Texts

All the ideas for 'The Gettier Problem', 'Explanation in Mathematics' and 'Substance'

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4 ideas

9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
A substance is, roughly, a basic being or subject at the foundation of reality [Robb]
     Full Idea: A substance is a basic being, something at reality's foundation. What exactly this means is a matter of some controversy. Some philosophers think of substance as an ultimate subject, something that has properties but isn't a property.
     From: David Robb (Substance [2009], 'Intro')
     A reaction: This seems to capture the place of 'substance' in contemporary metaphysics. I think of 'substance' as a placeholder for some threatened account, even in Aristotle.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
If an object survives the loss of a part, complex objects can have autonomy over their parts [Robb]
     Full Idea: Sometimes a whole can survive a loss of parts: the chair would still exist if it lost one of its legs. This seems to give complex objects a sort of autonomy over their parts.
     From: David Robb (Substance [2009], 'Ident')
     A reaction: There is then a puzzle as to how much loss of parts the whole can survive, and why. The loss of a major part could be devastating, so why do all wholes not exhibit this relation to all their parts? I demand rules, now!
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
     Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties).
     From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1)
     A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it.
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.