#mathematical

If all consciousness is subject to essential laws in a manner similar to that in which spatial reality is subject to mathematical laws, then these essential laws will be of most fertile significance in investigating facts of the conscious life of human and brute animals. ↗

— Edmund Husserl

#conscious #consciousness #essential #facts #fertile

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

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

The time was not yet ripe for the growth of mathematical science among us, and any development that might have taken place in that direction was rudely stopped by the civil war. ↗

— Simon Newcomb

#any #civil #civil war #development #direction

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