quote by Paul Halmos

Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.

— Paul Halmos

Most Powerful Deductive Reasoning quotations

Man has such a predilection for systems and abstract deductions that he is ready to distort the truth intentionally he is ready to deny the evidence of his senses only to justify his logic.

Deductive reasoning quote Believe in your dreams. They were given to you for a reason.
Believe in your dreams. They were given to you for a reason.

Intuition is the undoubting conception of a pure and attentive mind, which arises from the light of reason alone, and is more certain than deduction.

Deductive reasoning quote You will find that it is necessary to let things go; simply for the reason that
You will find that it is necessary to let things go; simply for the reason that they are heavy.

Our reasonings grasp at straws for premises and float on gossamers for deductions.

You should carefully study the Art of Reasoning, as it is what most people are very deficient in, and I know few things more disagreeable than to argue, or even converse with a man who has no idea of inductive and deductive philosophy.

As a science, logic institutes an analysis of the process of the mind in reasoning, and investigating the principles on which argumentation is conducted; as an art, it furnishes such rules as may be derived from those principles, for guarding against erroneous deductions.

Deductive reasoning quote Forget all the reasons why it won't work and believe the one reason it will.
Forget all the reasons why it won't work and believe the one reason it will.

Both induction and deduction, reasoning from the particular and the general, and back again from the universal to the specific, form the essence to scientific thinking.

I start with an image, then I go from the image toward exploring the situation.

Then I write a scene, and from the scene I find the character, from the character I find the larger plot. It's like deductive reasoning - I start with the smaller stuff and work backward.

Inferences of Science and Common Sense differ from those of deductive logic and mathematics in a very important respect, namely, when the premises are true and the reasoning correct, the conclusion is only probable.

Deductive reasoning quote Celebrate the people in your life who are there because they love you for no oth
Celebrate the people in your life who are there because they love you for no other reason than because you are you.

Faith is the assent to any proposition not made out by the deduction of reason but upon the credit of the proposer.

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

It is difficult to distinguish deduction from what in other circumstances is called problem-solving. And concept learning, inference, and reasoning by analogy are all instances of inductive reasoning. (Detectives typically induce, rather than deduce.) None of these things can be done separately from each other, or from anything else. They are pseudo-categories.

Deductive reasoning quote A child can teach an adult three things: To be happy for no reason, to always be
A child can teach an adult three things: To be happy for no reason, to always be curious, to fight tirelessly for something.

I said that he was my superior in observation and deduction.

If the art of the detective began and ended in reasoning from an armchair, my brother would be the greatest criminal agent that ever lived. But he has no ambition and no energy. He will not even go out of his way to verify his own solutions, and would rather be considered wrong than take the trouble to prove himself right.

There is no reason why the profoundest thoughts should not make easy and exciting reading. A profound thought is an exciting thing as exciting as a detective's deductions or hunches. The simpler the words in which a thought is expressed the more stimulating its effect.

In the study of ideas, it is necessary to remember that insistence on hard-headed clarity issues from sentimental feeling, as it were a mist, cloaking the perplexities of fact. Insistence on clarity at all costs is based on sheer superstition as to the mode in which human intelligence functions. Our reasonings grasp at straws for premises and float on gossamers for deductions.

Deductive reasoning quote We met for a reason, either you're a blessing or a lesson.
We met for a reason, either you're a blessing or a lesson.
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The knowledge of Natural-History, being Observation of Matters of Fact, is more certain than most others, and in my slender Opinion, less subject to Mistakes than Reasonings, Hypotheses, and Deductions are; ... These are things we are sure of, so far as our Senses are not fallible; and which, in probability, have been ever since the Creation, and will remain to the End of the World, in the same Condition we now find them.