Combining Philosophers

Ideas for Peter Geach, Gottfried Leibniz and Yuval Noah Harari

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12 ideas

9. Objects / F. Identity among Objects / 1. Concept of Identity
Inequality can be brought infinitely close to equality [Leibniz]
9. Objects / F. Identity among Objects / 3. Relative Identity
Denial of absolute identity has drastic implications for logic, semantics and set theory [Wasserman on Geach]
Identity is relative. One must not say things are 'the same', but 'the same A as' [Geach]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Two eggs can't be identical, because the same truths can't apply to both of them [Leibniz]
No two things are totally identical [Leibniz]
Things in different locations are different because they 'express' those locations [Leibniz]
In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz]
If two bodies only seem to differ in their position, those different environments will matter [Leibniz]
There must be some internal difference between any two beings in nature [Leibniz]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Leibniz's Law is incomplete, since it includes a non-relativized identity predicate [Geach, by Wasserman]
9. Objects / F. Identity among Objects / 9. Sameness
Things are the same if one can be substituted for the other without loss of truth [Leibniz]
Being 'the same' is meaningless, unless we specify 'the same X' [Geach]