---
title: "2 Axioms Quotes By Hans Reichenbach"
description: "2 Axioms quotes by Hans Reichenbach. Plus more from Hans Reichenbach and more Axioms sayings from other authors."
image: "https://sms4smile.com/quotes/i/deb/hans-reichenbach-31868_aspect_we-can-treat-only-the-geometrical-aspect_681215.png"
---

> [We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.](https://sms4smile.com/quotes/hans-reichenbach/we-can-treat-only-the-geometrical-aspects-of-mathematics-and-shall-be/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

[Image](https://sms4smile.com/quotes/i/deb/hans-reichenbach-31868_aspect_we-can-treat-only-the-geometrical-aspect_681215.png)

> [...the mathematician uses an indirect definition of congruence, making use of the fact that the axiom of parallels together with an additional condition can replace the definition of congruence.](https://sms4smile.com/quotes/hans-reichenbach/the-mathematician-uses-an-indirect-definition-of-congruence-making/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

[Image](https://sms4smile.com/quotes/i/64c/hans-reichenbach-31868_axioms_the-mathematician-uses-an-indirect-defin_748404.png)

## Other authors on Axioms

- [Mokokoma Mokhonoana 76 quotes](https://sms4smile.com/quotes/about/axioms/mokokoma-mokhonoana/)

## More by Hans Reichenbach

> [Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight lines as shortest…](https://sms4smile.com/quotes/hans-reichenbach/common-to-the-two-geometries-is-only-the-general-property-of-one-to/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [Occasionally one speaks... of signals or signal chains. It should be noted that the word signal means the transmission of signs and hence concerns…](https://sms4smile.com/quotes/hans-reichenbach/occasionally-one-speaks-of-signals-or-signal-chains-it-should-be/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [The essence of knowledge is generalization. That fire can be produced by rubbing wood in a certain way is a knowledge derived by generalization…](https://sms4smile.com/quotes/hans-reichenbach/the-essence-of-knowledge-is-generalization-that-fire-can-be-produced/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth…](https://sms4smile.com/quotes/hans-reichenbach/we-can-treat-only-the-geometrical-aspects-of-mathematics-and-shall-be/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [...the mathematician uses an indirect definition of congruence, making use of the fact that the axiom of parallels together with an additional condition can…](https://sms4smile.com/quotes/hans-reichenbach/the-mathematician-uses-an-indirect-definition-of-congruence-making/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be…](https://sms4smile.com/quotes/hans-reichenbach/we-must-maintain-that-mathematical-geometry-is-not-a-science-of-space/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [Visual forms are not perceived differently from colors or brightness. They are sense qualities, and the visual character of geometry consists in these sense…](https://sms4smile.com/quotes/hans-reichenbach/visual-forms-are-not-perceived-differently-from-colors-or-brightness/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [The philosopher of science is not much interested in the thought processes which lead to scientific discoveries; he looks for a logical analysis of…](https://sms4smile.com/quotes/hans-reichenbach/the-philosopher-of-science-is-not-much-interested-in-the-thought/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [Philosophy is regarded by many as inseparable from speculation. ... Philosophy has proceeded from speculation to science.](https://sms4smile.com/quotes/hans-reichenbach/philosophy-is-regarded-by-many-as-inseparable-from-speculation/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [The statement that although the past can be recorded, the future cannot, is translatable into the statistical statement: Isolated states of order are always…](https://sms4smile.com/quotes/hans-reichenbach/the-statement-that-although-the-past-can-be-recorded-the-future/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [...the differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and…](https://sms4smile.com/quotes/hans-reichenbach/the-differential-element-of-non-euclidean-spaces-is-euclidean-this/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [It appears that the solution of the problem of time and space is reserved to philosophers who, like Leibniz, are mathematicians, or to mathematicians…](https://sms4smile.com/quotes/hans-reichenbach/it-appears-that-the-solution-of-the-problem-of-time-and-space-is/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [Absolute time would exist in a causal structure for which the concept indeterminate as to time order lends to a unique simultaneity, i.e., for…](https://sms4smile.com/quotes/hans-reichenbach/absolute-time-would-exist-in-a-causal-structure-for-which-the-concept/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [If error is corrected whenever it is recognized as such, the path of error is the path of truth.](https://sms4smile.com/quotes/hans-reichenbach/if-error-is-corrected-whenever-it-is-recognized-as-such-the-path-of/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

> [You see, there is no more purpose or meaning in the world than you put into it.](https://sms4smile.com/quotes/hans-reichenbach/you-see-there-is-no-more-purpose-or-meaning-in-the-world-than-you-put/)

[Hans Reichenbach](https://sms4smile.com/quotes/author/hans-reichenbach/)

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