Combining Texts

All the ideas for 'Leibniz', 'Friendship' and 'Phil of Mathematics and Natural Science'

unexpand these ideas     |    start again     |     specify just one area for these texts


3 ideas

9. Objects / F. Identity among Objects / 7. Indiscernible Objects
The Identity of Indiscernibles is really the same as the verification principle [Jolley]
     Full Idea: Various writers have noted that the Identity of Indiscernibles is really tantamount to the verification principle.
     From: Nicholas Jolley (Leibniz [2005], Ch.3)
     A reaction: Both principles are false, because they are the classic confusion of epistemology and ontology. The fact that you cannot 'discern' a difference between two things doesn't mean that there is no difference. Things beyond verification can still be discussed.
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
Friendship is partly universal - the love of a person is like the ideal of loving everyone [Weil]
     Full Idea: Friendship has something universal about it. It consists in loving a human being as we should like to be able to love each soul in particular of all those who go to make up the human race.
     From: Simone Weil (Friendship [1940], p.288)
     A reaction: Hm. Would you like your lover to dream of loving the human race, rather than just loving you? Perhaps only a Christian could see friendship in this way?
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
The limit of science is isomorphism of theories, with essences a matter of indifference [Weyl]
     Full Idea: A science can determine its domain of investigation up to an isomorphic mapping. It remains quite indifferent as to the 'essence' of its objects. The idea of isomorphism demarcates the self-evident boundary of cognition.
     From: Hermann Weyl (Phil of Mathematics and Natural Science [1949], 25-7), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: Shapiro quotes this in support of his structuralism, but it is a striking expression of the idea that if there are such things as essences, they are beyond science. I take Weyl to be wrong. Best explanation reaches out beyond models to essences.