"Axiomin" Example Sentences
1. The axioms of Euclidean geometry have been a fundamental part of mathematics for centuries.
2. Axiomatic thinking is essential in developing rigorous mathematical proofs.
3. The principles of logic serve as axioms for the field of philosophy.
4. One of the axioms of economics is that people act rationally to maximize their own self-interest.
5. The axioms of formal logic are the building blocks for all deductive reasoning.
6. We must begin with the axioms of set theory before we can prove anything about mathematical sets.
7. The axioms of quantum mechanics challenge our intuition and require us to think in unconventional ways.
8. The axioms of classical mechanics are well-established, but they cannot explain certain phenomena at the quantum level.
9. The axioms of social contract theory outline the basic rights and responsibilities of citizens in a just society.
10. The axioms of Boolean algebra provide a useful framework for digital circuit design.
11. Mathematicians use axioms to construct abstract structures such as groups, rings, and fields.
12. The axioms of projective geometry describe the properties of points, lines, and planes in space.
13. Axiomatic systems provide a powerful tool for analyzing complex phenomena in physics and other sciences.
14. The axioms of probability theory are the foundation for statistical inference and decision-making under uncertainty.
15. The axioms of first-order logic allow us to formalize arguments and reason about mathematical objects.
16. The axioms of real analysis establish the basic properties of real numbers and functions.
17. The axioms of game theory help us understand strategic decision-making and competition in various contexts.
18. The axioms of topology define the notions of continuity and dimensionality in abstract spaces.
19. Philosophers have debated the axioms underlying moral and ethical theories for centuries.
20. The axioms of evolutionary biology describe the mechanisms of natural selection and genetic variation.
21. The axioms of information theory quantify the amount of information conveyed by signals or messages.
22. The axioms of thermodynamics establish the basic principles governing the behavior of energy and entropy.
23. The axioms of category theory provide a unifying framework for mathematics and computer science.
24. The axioms of special relativity challenge our intuitive notions of space and time and have far-reaching consequences in physics.
25. The axioms of decision theory guide our choices and actions in situations of risk or uncertainty.
26. The axioms of linguistic syntax describe the rules for constructing well-formed sentences in a language.
27. The axioms of formal semantics provide a rigorous way to interpret the meaning of natural language expressions.
28. The axioms of category theory enable us to translate ideas and constructions between different mathematical structures.
29. The axioms of general relativity describe the curvature of spacetime and the behavior of matter and energy in gravitational fields.
30. The axioms of epistemology address fundamental questions about knowledge, belief, and justification.
Common Phases
1. It is axiomatic that honesty is the best policy;
2. One of the axioms of biology is that all living organisms require water to survive;
3. Axiomatically, the larger the company, the more bureaucracy is involved;
4. It is an axiom of physics that energy cannot be created or destroyed, only transformed;
5. Axiomatically speaking, people who work hard tend to be more successful in life;
6. One of the fundamental axioms of democracy is that all citizens have equal rights and freedoms.