A Quote by Henri Poincare

Pure logic could never lead us to anything but tautologies; it can create nothing new; not from it alone can any science issue. — © Henri Poincare
Pure logic could never lead us to anything but tautologies; it can create nothing new; not from it alone can any science issue.
The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.
The science of nonviolence can alone lead one to pure democracy.
You cannot create new science unless you realize where the old science leaves off and new science begins, and science fiction forces us to confront this.
You cannot create new science unless you realise where the old science leaves off and new science begins, and science fiction forces us to confront this.
This example illustrates the differences in the effects which may be produced by research in pure or applied science. A research on the lines of applied science would doubtless have led to improvement and development of the older methods - the research in pure science has given us an entirely new and much more powerful method. In fact, research in applied science leads to reforms, research in pure science leads to revolutions, and revolutions, whether political or industrial, are exceedingly profitable things if you are on the winning side.
The science of war leads one to dictatorship, pure and simple. The science of non-violence alone can lead one to pure democracy. Power based on love is thousand times more effective and permanent than power derived from fear of punishment. It is a blasphemy to say non-violence can be practiced only by individuals and never by nations which are composed of individuals. The nearest approach to purest anarchy would be a democracy based on non-violence. A society organized and run on the basis of complete non-violence would be the purest anarchy.
If it had been anything else, we would have said, 'People don't want us to do it. Forget it. Let's just leave it alone.' But this is not in that category. This is interesting science. New science. With a hint of a possibility of a very useful technology. Therefore, if you've got any integrity, you don't give up. You only give up if you find you are wrong. But as long as you believe that you are right, you have to continue. And you have to take the consequences.
I know nothing of the science of astrology and I consider it to be a science, if it is a science, of doubtful value, to be severely left alone by those who have any faith in Providence.
...while science gives us implements to use, science alone does not determine for what ends they will be employed. Radio is an amazing invention. Yet now that it is here, one suspects that Hitler never could have consolidated his totalitarian control over Germany without its use. One never can tell what hands will reach out to lay hold on scientific gifts, or to what employment they will be put. Ever the old barbarian emerges, destructively using the new civilization.
The want of logic annoys. Too much logic bores. Life eludes logic, and everything that logic alone constructs remains artificial and forced.
I do know that you have to choose between the logic of reconciliation and the logic of justice. Pure justice leads to new civil war. I prefer the negotiable revolution.
And I think of nothing. I think of nothing but Rachel. What happens next is pure magic, and is for us and us alone.
I end with a word on the new symbols which I have employed. Most writers on logic strongly object to all symbols. ... I should advise the reader not to make up his mind on this point until he has well weighed two facts which nobody disputes, both separately and in connexion. First, logic is the only science which has made no progress since the revival of letters; secondly, logic is the only science which has produced no growth of symbols.
Logic issues in tautologies, mathematics in identities, philosophy in definitions; all trivial, but all part of the vital work of clarifying and organising our thought.
Science, pure science, is leading us in a sense astray. Leading us astray with the idea that everybody has got to have everything that they want even if it means polluting the entire environment. It is a case of lets just keep one or two canisters of the smallpox virus because we'll never know when we might need it. Science is becoming very much a Dark Power, in many ways.
As in political revolutions, so in paradigm choice-there is no standard higher than the assent of the relevant community... this issue of paradigm choice can never be unequivocally settled by logic and experiment alone.
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