19 APR 2013 by ideonexus

 The Projected Growth of the Sciences

It has never yet been supposed, that all the facts of nature, and all the means of acquiring precision in the computation and analysis of those facts, and all the connections of objects with each other, and all the possible combinations of ideas, can be exhausted by the human mind. The mere relations of magnitude, the combinations, quantity and extent of this idea alone, form already a system too immense for the mind of man ever to grasp the whole of it; a portion, more vast than that which h...
Folksonomies: knowledge growth
Folksonomies: knowledge growth
  1  notes

Condorcet sees our knowledge growing exponentially into the deepest minutia.

19 APR 2013 by ideonexus

 Outline of the Natural Sciences Pt. I

The heavens are enriched for the man of science with new stars, and he applies his knowledge to determine and foretel with accuracy their positions and movements. Natural philosophy, gradually delivered from the vague explanations of Descartes, in the same manner as it before was disembarrassed from the absurdities of the schools, is now nothing more than the art of interrogating nature by experiment, for the parpose of afterwards deducing more general facts by computation. The weight of the...
  1  notes

From Condorcet's Ninth Epoch. A survey of the world of science and a call for the need for the different sciences to find points where they touch in order to strengthen.

06 AUG 2012 by ideonexus

 Our Improvement Through Education is Limitless

It has never yet been supposed, that all the facts of nature, and all the means of acquiring precision in the computation and analysis of those facts, and all the connections of objects with each other, and all the possible combinations of ideas, can be exhausted by the human mind. The mere relations of magnitude, the combinations, quantity and extent of this idea alone, form already a system too immense for the mind of man ever to grasp the whole of it; a portion, more vast than that which h...
  1  notes

A vision of the future. Although we may never change physically or in our mental capacity, our innovations and amassing of knowledge will provide us with limitless potential for intellectual growth.

08 JUN 2012 by ideonexus

 Morals are Natural

It would appear... that moral phenomena, when observed on a great scale, are found to resemble physical phenomena; and we thus arrive, in inquiries of this kind, at the fundamental principle, that the greater the number of individuals observed, the more do individual peculiarities, whether physical or moral, become effaced, and leave in a prominent point of view the general facts, by virtue of which society exists and is preserved.
Folksonomies: civilization
Folksonomies: civilization
  1  notes

That's what I take from this quote, which talks about the normative nature of habits that appear when our sample size is large enough and those habits make civilization possible.

24 APR 2012 by ideonexus

 Physics Delves into More and More Abstract Mathematics

The steady progress of physics requires for its theoretical formulation a mathematics which get continually more advanced. ... it was expected that mathematics would get more and more complicated, but would rest on a permanent basis of axioms and definitions, while actually the modern physical developments have required a mathematics that continually shifts its foundation and gets more abstract. Non-euclidean geometry and noncommutative algebra, which were at one time were considered to be pu...
Folksonomies: physics mathematics
Folksonomies: physics mathematics
  1  notes

According to Paul A. M. Dirac.

02 FEB 2012 by ideonexus

 The Positive Mind

In the final, the positive, state, the mind has given over the vain search after absolute notions, the origin and destination of the universe, and the causes of phenomena, and applies itself to the study of their laws—that is, their invariable relations of succession and resemblance. Reasoning and observation, duly combined, are the means of this knowledge. What is now understood when we speak of an explanation of facts is simply the establishment of a connection between single phenomena and ...
Folksonomies: facts theory
Folksonomies: facts theory
  1  notes

Doesn't concern itself with absolute truth, but is focused on laws and how facts tie into them.