#mathematical

In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely! ↗

— Edmund Husserl

#archetypes #changed #completely #decades #even

Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it. ↗

— Edmund Husserl

#concrete #full #idea #insights #like

The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation. ↗

— Marquis De Custine

#circumstances #complicated #human #human society #mathematical

The social sciences, I thought, needed the same kind of rigor and the same mathematical underpinnings that had made the "hard" sciences so brilliantly successful. ↗

— Herbert Simon

#had #hard #i #kind #made

We have failed to protect science against speculative extensions of nature, continuing to assign physical and mathematical properties to hypothetical entities beyond what is observable in nature. ↗

— Robert Lanza

#assign #beyond #continuing #entities #extensions

All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers. ↗

— James C. Maxwell

#between #determination #exact #exact science #founded

I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research. ↗

— John Forbes Nash, Jr.

#conventional #delusional #finally #human #hypotheses

Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has. ↗

— Roger Penrose

#around #been #days #dependent #forces

It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth. ↗

— Jean Piaget

#chance #children #development #forth #knowledge

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