Axiomatically definitions
| Word backwards | yllacitamoixa |
|---|---|
| Part of speech | adverb |
| Syllabic division | a-xi-o-mat-i-cal-ly |
| Plural | The plural of the word "axiomatically" is "axiomatically." This word does not change in form when pluralized. |
| Total letters | 13 |
| Vogais (3) | a,i,o |
| Consonants (6) | x,m,t,c,l,y |
Axiomatically is a term that refers to something that is considered self-evident or universally accepted without needing proof. In the realm of philosophy and mathematics, axioms are used as basic starting points for reasoning and argumentation.
Origin and Meaning of Axiomatically
The word "axiomatically" is derived from the term "axiom," which comes from the Greek word "axios," meaning worthy or capable. Axioms are statements or propositions that are regarded as established, accepted, or self-evident truths. These are basic building blocks upon which theories and systems are constructed.
Usage in Philosophy and Mathematics
In philosophy, axioms are used as starting points for logical reasoning. They are considered to be universally true and do not require any further proof. For example, in Euclidean geometry, axioms such as "two points determine a unique line" are accepted without question.
Role in Logical Systems
In mathematics, axioms serve as the foundation for mathematical theories. They are used to define various mathematical structures and to derive theorems and conclusions through logical reasoning. Axiomatic systems are essential in ensuring the consistency and coherence of mathematical reasoning.
Overall, axiomatically plays a crucial role in establishing the fundamental principles upon which various disciplines like philosophy and mathematics are built. By accepting certain statements as axioms, we can construct logical systems and theories that are coherent, consistent, and reliable.
Axiomatically Examples
- She axiomatically assumed that her hypothesis was correct.
- It is axiomatically true that all triangles have three sides.
- His argument was supported axiomatically by existing research.
- The theorem was proven axiomatically by following logical steps.
- Some principles in physics are axiomatically true based on empirical evidence.
- The concept of individual rights is axiomatically important in democratic societies.
- The team axiomatically followed the guidelines set by their coach.
- It is axiomatically known that water freezes at 0 degrees Celsius.
- The relationship between supply and demand is axiomatically explored in economics.
- He axiomatically believed that honesty is the best policy.