David Hilbert

Hilbert , David ( 1967 ) Paul

axiomatics. A main feature of Hilbert’s axiomatization of geometry is that the axiomatic method is presented and practiced in the spirit of the abstract conception of axiomatics that arose at the end of the nineteenth century and which has been generally adopted in modern mathematics. It consists in abstracting from the intuitive meaning of the terms for the kinds of primitive objects (individu...

David Hilbert Hallucination, Sense-data and Direct Realism

Although it has been something of a fetish for philosophers to distinguish between hallucination and illusion, the enduring problems for philosophy of perception that both phenomena present are not essentially different. Hallucination, in its pure philosophical form, is just another example of the philosopher’s penchant for considering extreme and extremely idealized cases in order to understan...

David Hilbert and the Axiomatization of Physics ( 1894 - 1905 ) by

Color and the Inverted Spectrum DAVID HILBERT and MARK ELI KALDERON

When we open our eyes, one of the most striking features of the occurrent scene before us is the apparent multitude of colored surfaces, transparent volumes, and radiant light sources.1 Grass, emeralds, and certain lava lamps, for example, all appear green to us. If something visually appears green to us, and it is in fact green, then our visual experience is veridical, at least in part.2 If, o...

An Introduction to Hilbert Space and Quantum Logic (David W. Cohen)

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