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Mathematical Analysis is… the true rational basis of the whole system of our positive knowledge.

Auguste Comte

Mathematical Analysis is… the true rational basis of the whole system of our positive knowledge.
AUGUSTE COMTE

Basis Knowledge Mathematics Positive System
All good intellects have repeated, since Bacon’s time, that there can be no real knowledge but which is based on observed facts.
AUGUSTE COMTE

Fact Goodness Intellectual Knowledge Observation
Language forms a kind of wealth, which all can make use of at once without causing any diminution of the store, and which thus admits a complete community of enjoyment; for all, freely participating in the general treasure, unconsciously aid in its preservation.
AUGUSTE COMTE

Enjoyment Form Language Preserve Reason Wealth
Everything is relative; and only that is absolute.
AUGUSTE COMTE

Absolute Philosophy Relative
Men are not allowed to think freely about chemistry and biology: why should they be allowed to think freely about political philosophy?
AUGUSTE COMTE

Allow Freedom Man Philosophy Politics Thinking
Woman is the most moral element in all humanity.
AUGUSTE COMTE

Element Moral One Liner Society Woman
But now, I, August Comte, have discovered the truth. Therefore, there is no longer any need for freedom of thought or freedom of the press. I want to rule and to organize the whole country.
AUGUSTE COMTE

Country Discover Freedom Organize Philosophy Truth
The only real life is the collective life of the race; individual life has no existence except as an abstraction.
AUGUSTE COMTE

Collective Exception Existence Individual Life Race Reality
Nothing is destroyed until it is replaced.
AUGUSTE COMTE

Destroy Replacement
Every science consists in the coordination of facts; if the different observations were entirely isolated, there would be no science.
AUGUSTE COMTE

Coordination Fact Science
To understand a science it is necessary to know its history.
AUGUSTE COMTE

History Necessary Science Understand
The law is this: that each of our leading conceptions-each branch of our knowledge-passes successively through three different theoretical conditions: the Theological, or fictitious: the Metaphysical, or abstract; and the Scientific, or positive.
AUGUSTE COMTE

Conception Knowledge Law Leadership Positive Science
The dead govern the living.
AUGUSTE COMTE

Death Government Live One Liner
Each department of knowledge passes through three stages. The theoretic stage; the theological stage and the metaphysical or abstract stage.
AUGUSTE COMTE

Abstract Department Knowledge Pass Theory
Humanity is always made up of more dead than living.
AUGUSTE COMTE

Death Deep Humanity Live Philosophy
The universe displays no proof of an all-directing mind.
AUGUSTE COMTE

Display Evidence Mindset Universe

Mathematical Analysis is… the true rational basis of the whole system of our positive knowledge.

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Mathematical Analysis is… the true rational basis of the whole system of our positive knowledge.

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