#thematic

Logical positivists have never taken psychology into account in their epistemology, but they affirm that logical beings and mathematical beings are nothing but linguistic structures. ↗

— Jean Piaget

#affirm #beings #epistemology #into #linguistic

I have hardly ever known a mathematician who was capable of reasoning. ↗

— Plato

#ever #hardly #i #known #mathematician

Need we add that mathematicians themselves are not infallible? ↗

— Henri Poincare

#infallible #mathematicians #need #themselves

No more than these machines need the mathematician know what he does. ↗

— Henri Poincare

#know #machines #mathematician #more #need

Mathematical discoveries, small or great are never born of spontaneous generation. ↗

— Henri Poincare

#discoveries #generation #great #mathematical #never

A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature. ↗

— Henri Poincare

#artist #experiences #great #his #impression

How is an error possible in mathematics? ↗

— Henri Poincare

#how #mathematics #possible

Mathematicians do not study objects, but relations between objects. ↗

— Henri Poincare

#mathematicians #objects #relations #study

One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics. ↗

— Henri Poincare

#constant #desire #development #forgotten #had

The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. ↗

— Henri Poincare

#being #capable #facts #knowledge #law