Wed, 22 Jun 2022 09:13:48 GMT 2022-06-22T09:13:48Z <span style="color: #222222; font-family: sans-serif;">WIKI :: A </span><strong style="color: #222222; font-family: sans-serif;">formal system</strong><span style="color: #222222; font-family: sans-serif;"> is used for inferring theorems from axioms according to a set of rules. </span><span style="color: #222222; font-family: sans-serif;">Each formal system uses primitive</span><span style="color: #222222; font-family: sans-serif;"> </span><a style="font-family: sans-serif; background: none; text-decoration-line: none; color: #0b0080;" title="Symbol (formal)" href="https://en.wikipedia.org/wiki/Symbol_(formal)">symbols</a><span style="color: #222222; font-family: sans-serif;"> </span><span style="color: #222222; font-family: sans-serif;">(which collectively form an</span><span style="color: #222222; font-family: sans-serif;"> </span><a class="mw-redirect" style="font-family: sans-serif; background: none; text-decoration-line: none; color: #0b0080;" title="Alphabet (computer science)" href="https://en.wikipedia.org/wiki/Alphabet_(computer_science)">alphabet</a><span style="color: #222222; font-family: sans-serif;">) to finitely construct a</span><span style="color: #222222; font-family: sans-serif;"> </span><a style="font-family: sans-serif; background: none; text-decoration-line: none; color: #0b0080;" title="Formal language" href="https://en.wikipedia.org/wiki/Formal_language">formal language</a><span style="color: #222222; font-family: sans-serif;"> </span><span style="color: #222222; font-family: sans-serif;">from a set of</span><span style="color: #222222; font-family: sans-serif;"> </span><a style="font-family: sans-serif; background: none; text-decoration-line: none; color: #0b0080;" title="Axiom" href="https://en.wikipedia.org/wiki/Axiom">axioms</a><span style="color: #222222; font-family: sans-serif;">t through inferential</span><span style="color: #222222; font-family: sans-serif;"> </span><a class="mw-redirect" style="font-family: sans-serif; background: none; text-decoration-line: none; color: #0b0080;" title="Rules of formation" href="https://en.wikipedia.org/wiki/Rules_of_formation">rules of formation</a><span style="color: #222222; font-family: sans-serif;">. </span><span style="color: #222222; font-family: sans-serif;">The system thus consists of valid formulas built up through finite combinations of the primitive symbols—combinations that are formed from the axioms in accordance with the stated rules.</span> Info