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Consequence Quotes

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Consequence Quotes

“A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions.”

Certain Consequence Definitions Logical Strict Propositions Theorems

Author:Anatol Rapoport

“The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately, however, this "axiom" is used innumerably often without any basis and in neglect of the necessary distinction between "reality" and "quantity", on the one hand, and "number" and "set", on the other, precisely in the sense in which it is generally false.”

May Whole Hands Reality Used Numbers Cases Concepts Consequence Bases Proof Distinction Neglect Quantity Entity Propositions Axioms

Author:Georg Cantor

“It is almost always the unhappiness of a victorious disputant to destroy his own authority by claiming too many consequences, or diffusing his proposition to an indefensible extent.”

Authority Consequence Unhappiness Propositions Controversy

Book:The Rambler: A Periodical Paper, Published in 1750, 1751, 1752

Source: The Rambler: A Periodical Paper, Published in 1750, 1751, 1752

“I doubt not, but from self-evident Propositions, by necessary Consequences, as incontestable as those in Mathematics, the measures of right and wrong might be made out.”

Made Self Might Doubt Consequence Mathematics Evident Propositions

Book:An Essay Concerning Human Understanding

Source: An Essay Concerning Human Understanding