Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', 'Identity over Time' and 'On the Concept of Number'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 7. Formalism
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
     Full Idea: Hilbert proposed to circuvent the paradoxes by means of the doctrine (already proposed by Poincaré) that in mathematics consistency entails existence.
     From: report of David Hilbert (On the Concept of Number [1900], p.183) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 19 'Exist'
     A reaction: Interesting. Hilbert's idea has struck me as weird, but it makes sense if its main motive is to block the paradoxes. Roughly, the idea is 'it exists if it isn't paradoxical'. A low bar for existence (but then it is only in mathematics!).
9. Objects / E. Objects over Time / 1. Objects over Time
If things change they become different - but then no one thing undergoes the change! [Gallois]
     Full Idea: If things really change, there can't literally be one thing before and after the change. However, if there isn't one thing before and after the change, then no thing has really undergone any change.
     From: André Gallois (Identity over Time [2011], Intro)
     A reaction: [He cites Copi for this way of expressing the problem of identity through change] There is an obvious simple ambiguity about 'change' in ordinary English. A change of property isn't a change of object. Painting a red ball blue isn't swapping it.
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
4D: time is space-like; a thing is its history; past and future are real; or things extend in time [Gallois]
     Full Idea: We have four versions of Four-Dimensionalism: the relativistic view that time is space-like; a persisting thing is identical with its history (so objects are events); past and future are equally real; or (Lewis) things extend in time, with temporal parts.
     From: André Gallois (Identity over Time [2011], §2.5)
     A reaction: Broad proposed the second one. I prefer 3-D: at any given time a thing is wholly present. At another time it is wholly present despite having changed. It is ridiculous to think that small changes destroy identity. We acquire identity by dying??
9. Objects / F. Identity among Objects / 6. Identity between Objects
If two things are equal, each side involves a necessity, so the equality is necessary [Gallois]
     Full Idea: The necessity of identity: a=b; □(a=a); so something necessarily = a; so something necessarily must equal b; so □(a=b). [A summary of the argument of Marcus and Kripke]
     From: André Gallois (Identity over Time [2011], §3)
     A reaction: [Lowe 1982 offered a response] The conclusion seems reasonable. If two things are mistakenly thought to be different, but turn out to be one thing, that one thing could not possibly be two things. In no world is one thing two things!
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Theories of intentionality presuppose rationality, so can't explain it [Dennett]
     Full Idea: Intentional theory is vacuous as psychology because it presupposes and does not explain rationality or intelligence.
     From: Daniel C. Dennett (Brainstorms:Essays on Mind and Psychology [1978], p.15?)
     A reaction: Virtually every philosophical theory seems to founder because it presupposes something like the thing it is meant to explain. I agree that 'intentionality' is a slightly airy concept that would probably reduce to something better.
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
Beliefs and desires aren't real; they are prediction techniques [Dennett]
     Full Idea: Intentional systems don't really have beliefs and desires, but one can explain and predict their behaviour by ascribing beliefs and desires to them. This strategy is pragmatic, not right or wrong.
     From: Daniel C. Dennett (Brainstorms:Essays on Mind and Psychology [1978], p.7?)
     A reaction: If the ascription of beliefs and desires explains behaviour, then that is good grounds for thinking they might be real features of the brain, and even if that is not so, they are real enough as abstractions from brain events, like the 'economic climate'.