Quotes About Propositions

OS AXIOMAS, EMBORA BÁSICOS PARA TODAS AS PROVAS, SÃO ELES MESMOS NÃO-PROVADOS OU ATÉ MESMO NÃO PROVÁVEIS... SE OS AXIOMAS SÃO NEGADOS, AS PROPOSIÇÕES DEDUZIDAS A PARTIR DOS AXIOMAS NÃO EXISTEM, VISTO QUE NÃO HÁ NADA A PARTIR DO QUE ELAS POSSAM SER DERIVADAS; A VALIDADE DO SISTEMA INTEIRO TORNA-SE SUSPEITO... OS AXIOMAS DE UMA PESSOA DETERMINAM OS SEUS TEOREMAS.

But all propositions of logic say the same thing. That is, nothing.

Most propositions and questions, that have been written about philosophical matters, are not false, but senseless. ... (They are of the same kind as the question whether the Good is more or less identical than the Beautiful.)

Most propositions and questions, that have been written about philosophical matters, are not false, but senseless. We cannot, therefore, answer questions of this kind at all, but only state their senselessness. Most questions and propositions of the philosophers result from the fact that we do not understand the logic of our language.

The object of philosophy is the logical clarification of thoughts.   Philosophy is not a theory but an activity.   A philosophical work consists essentially of elucidations.   The result of philosophy is not a number of "philosophical propositions", but to make propositions clear.   Philosophy should make clear and delimit sharply the thoughts which otherwise are, as it were, opaque and blurred.

The object of philosophy is the logical clarification of thoughts. Philosophy is not a theory but an activity. A philosophical work consists essentially of elucidations. The result of philosophy is not a number of "philosophical propositions", but to make propositions clear. Philosophy should make clear and delimit sharply the thoughts which otherwise are, as it were, opaque and blurred.

The specification of all true elementary propositions describes the world completely. The world is completely described by the specification of all elementary propositions plus the specification, which of them are true and which false.

We say of a proof that it convinces us of a logical law.—But of course a proof starts somewhere. And the point is: What convinces us of the primitive propositions on which the proof is based? Here there is no proof.

Contradiction is the external limit of the propositions, tautology their substanceless centre.

The logic of the world which the propositions of logic show in tautologies, mathematics shows in equations.

every religion preaches the truth of propositions for which it has no evidence.

Propositions of a genetic and adaptive sort are found throughout this book; and, in any theory of defence, there must be many of a structural kind. The points of view not adopted are the dynamic and the economic.

Genuine ignorance is more profitable because likely to be accompanied by humility, curiosity, and open-mindedness; while ability to repeat catch-phrases, cant terms, familiar propositions, gives the conceit of learning and coats the mind with a varnish waterproof to new ideas.

Propositions show what they say: tautologies and contradictions show that they say nothing.

LOGIC The principle governing human intellection. Its nature may be deduced from examining the following propositions, both of which are held by human beings to be true and often by the same people: I cant so you musnt, and I can but you musnt.

One or two particulars may suggest hints of enquiry, and they do well who take those hints; but if they turn them into conclusions, and make them presently general rules, they are forward indeed, but it is only to impose on themselves by propositions assumed for truths without sufficient warrant.

As we have seen, the conceptual frameworks through which we comprehend reality are necessarily partial; and although not all propositions capture truth in equal measure, or are true at all, many of them may incorporate kernels of truth, offer suggestive perspectives, and illuminate reality from neglected angles.

It is thus necessary to examine all things according to their essence, to infer from every species such true and well established propositions as may assist us in the solution of metaphysical problems.

Either A is B or C is D," means, "if A is not B, C is D; and if C is not D, A is B." All hypothetical propositions, therefore, though disjunctive in form, are conditional in meaning; and the words hypothetical and conditional may be, as indeed they generally are, used synonymously.

This, until a better can be suggested, may serve as a substitute for the Categories of Aristotle considered as a classification of Existences. The practical application of it will appear when we commence the inquiry into the Import of Propositions; in other words, when we inquire what it is which the mind actually believes, when it gives what is called its assent to a proposition.

An example of this is, when the simple propositions are connected by the particle or; as, either A is B or C is D; or by the particle if; as, A is B if C is D. In the former case, the proposition is called disjunctive, in the latter, conditional: the name hypothetical was originally common to both.

Besides the propositions which assert Sequence or Co-existence, there are some which assert simple Existence; 36 and others assert Causation, which, subject to the explanations [pg 083] which will follow in the Third Book, must be considered provisionally as a distinct and peculiar kind of assertion.

When a general name stands for each and every individual which it is a name of, or in other words, which it denotes, it is said by logicians to be distributed, or taken distributively. Thus, in the proposition, All men are mortal, the subject, Man, is distributed, because mortality is affirmed of each and every man.

I think - something I learned recently looking up the meaning of ideology. If you look in American encyclopedias, it says, you know, 'Rules for - basic rules for a system of economics or politics.' If you look in the Oxford, it says that, and then it says... 'Despite - and people will hold these propositions despite events.'