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31 July 2021

On Logic (1950-1959)

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"Every bit of knowledge we gain and every conclusion we draw about the universe or about any part or feature of it depends finally upon...

On Logic (1930-1939)

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"A system is said to be coherent if every fact in the system is related every other fact in the system by relations that are not merely...

On Logic (1920-1929)

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"We must have a logical intuition of the probable relations between propositions. Once the existence of this relation between evidence ...

On Logic (1910-1919)

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"Pure mathematics is a collection of hypothetical, deductive theories, each consisting of a definite system of primitive, undefined, co...

On Logic (1900-1909)

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"If geometry is to serve as a model for the treatment of physical axioms, we shall try first by a small number of axioms to include as ...
27 July 2021

Out of Context: On Intuition (Definitions)

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"By intuition is frequently understood perception, or the knowledge of actual reality, the apprehension of something as real. […] Intui...

Out of Context: On Topology (Definitions)

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"Topology is the study of topological properties and, especially, topological invariants of figures." (Maurice Frechet & Ky Fa...

Out of Context: On Logic (Definitions)

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"Logic is the procession or proportionate unfolding of the intuition; but its virtue is as silent method; the moment it would appear as...
26 July 2021

Out of Context: On Symbol (Definitions)

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"Generally speaking, symbol is some form of external existence immediately present to the senses, which, however, is not accepted for i...

Out of Context: On Abstraction (Definitions)

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"Abstractions are like clouds, which assume a hundred different forms, and which men may run after forever without catching anythin...