Every step Quote by Jim Propp Download Open image “I think some intuition leaks out in every step of an induction proof.” — Jim Propp ★ ★ ★ ★ ★ 2.4 out of 5 (6 ratings) Copy quoteShare Every step Intuition Leaks Mathematical Mathematical proof Mathematics Proof Steps Thinking
Induction is a process of inference; it proceeds from the known to the unknown. — John Stuart Mill Copy Share Image
Induction is the process of taking things within our experience to be representative of the world outside our experience. It is a process of… — Simon Blackburn Copy Share Image
If we have no idea why a statement is true, we can still prove it by induction. — Gian-Carlo Rota Copy Share Image
Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear. — L. E. J. Brouwer Copy Share Image
It is time, therefore, to abandon the superstition that natural science cannot be regarded as logically respectable until philosophers have solved the problem of… — A.J. Ayer Copy Share Image
There is a tradition of opposition between adherents of induction and of deduction. In my view it would be just as sensible for the… — Alfred North Whitehead Copy Share Image
“same phenomenon and concludes that the phenomenon will always occur. Conclusions obtained by induction seem well warranted” — Morris Kline Copy Share Image
“The idea behind the meta-induction is that all of our theories are fundamentally provisional and quite possibly wrong, if we can add that idea… — Kathryn Schulz Copy Share Image
“In experimental philosophy we are to look upon propositions inferred by general induction from phenomena as accurately or very nearly true, notwithstanding any contrary… — Issac Newton Copy Share Image
Both induction and deduction, reasoning from the particular and the general, and back again from the universal to the specific, form the essence to… — Hans Christian von Baeyer Copy Share Image
What promotes math progress even more than new ideas are new technical tools and habits of thought that encapsulate existing ideas, so that insights… — Jim Propp Copy Share Image
MacPherson told me that my theorem can be viewed as blah blah blah Grothendieck blah blah blah, which makes it much more respectable. — Jim Propp Copy Share Image
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Every step by which an individual substitutes concerted action for isolated action results in an immediate and recognizable improvement in his conditions. The advantages… — Ludwig von Mises Copy Share Image
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