Question

Какие аксиомы вам известны

Answer 1

Говори всегда правду ,какой горькой она бы не была .
Женщины хотят того,что мужчинам не по карману .
Обычный человек не сможет так сразу стать депутатом. 
Прямая разбивает плоскость на две плоскости. 

Answer 2

Known Axioms

The axioms known to me include the following:

1. Law of Identity: This axiom states that each thing is the same with itself and different from another. It is the foundation of rational thinking and logic.

2. Law of Non-Contradiction: This axiom asserts that contradictory statements cannot both be true in the same sense at the same time. It is a fundamental principle in classical logic and is essential for rational discourse.

3. Law of Excluded Middle: This axiom states that for any proposition, either that proposition is true or its negation is true. In other words, there is no middle ground between true and false statements.

4. Euclidean Axioms: These are the five axioms of Euclidean geometry, which include the concepts of points, lines, and planes, as well as the relationships between them. These axioms form the basis of classical geometry.

5. Pythagorean Theorem: While not strictly an axiom, the Pythagorean theorem is a fundamental principle in geometry that relates to the lengths of the sides of a right-angled triangle. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

6. Cogito, ergo sum: This philosophical axiom, attributed to René Descartes, translates to "I think, therefore I am." It signifies the self-evident truth of one's own existence as a thinking being.

7. Copernican Principle: This principle, proposed by Nicolaus Copernicus, suggests that the Earth is not the center of the universe and that the universe is not designed for human beings. It is a foundational concept in modern astronomy and cosmology.

8. Kepler's Laws of Planetary Motion: These are three scientific laws describing the motion of planets around the Sun, formulated by Johannes Kepler. They are fundamental principles in the field of celestial mechanics.

9. Heliocentrism: This is the astronomical model in which the Earth and planets revolve around the Sun at the center of the solar system. It was a revolutionary concept in the history of science and astronomy, challenging the geocentric view of the universe.

These axioms encompass a range of principles from logic, mathematics, philosophy, and science, forming the foundational concepts upon which various fields of knowledge are built.