1. What are the four parts of axiomatic system?
2. What are the undefined term, defined term, postulates and theorems?
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1. What are the four parts of axiomatic system?
2. What are the undefined term, defined term, postulates and theorems?
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Answer:
four parts of axiomatic system are:
undefined terms -Undefined terms are those terms that don't require a formal definition. The four terms are point, line, plane, and set. A point is quite simply, a dot. Points are labeled with one capital letter.
axiom -An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments
definition -a statement of the exact meaning of a word, especially in a dictionary.
theorems -A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory.
ANSWER:
1.
1: Each committee is a set of three members. Axiom 2: Each member is on exactly two committees. Axiom 3: No two members may be together on more than one committee. Axiom 4: There is at least one committee.
2.
they are facts that we prove using axioms, definitions, and theorems that we've proved earlier. (Propositions, Lemmas, Corollaries are all species of theorems.)
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