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A logician is a person who studies logic. Some famous logicians are listed below in English alphabetical transliteration order (by surname ). This is a dynamic list and may never be able to satisfy particular standards for completeness.
It understands meaning usually in relation to truth conditions, i.e. it examines in which situations a sentence would be true or false. One of its central methodological assumptions is the principle of compositionality. It states that the meaning of a complex expression is determined by the meanings of its parts and how they are combined.
A logician is a person, such as a philosopher or a mathematician, whose topic of scholarly study is logic. See List of logicians for a manually compiled list.
Aristotle was the first logician to attempt a systematic analysis of logical syntax, of noun (or term), and of verb. He was the first formal logician , in that he demonstrated the principles of reasoning by employing variables to show the underlying logical form of an argument. [ 46 ]
Logical reasoning is a form of thinking that is concerned with arriving at a conclusion in a rigorous way. [1] This happens in the form of inferences by transforming the information present in a set of premises to reach a conclusion.
This would mean that any statement in arithmetic, like "2 + 2 = 4", can be expressed in purely logical terms, i.e. without using numbers or arithmetic operators like addition. In this case, all the theorems of arithmetic would be derivable from the axioms of logic. [4] Whether this thesis is correct depends on how the term "logic" is understood.
One of the things that a logician does is to take a set of statements in logic and deduce the conclusions (additional statements) that must be true by the laws of logic. For example, if given the statements "All humans are mortal" and "Socrates is human" a valid conclusion is "Socrates is mortal". Of course this is a trivial example.
The semantics of logic refers to the approaches that logicians have introduced to understand and determine that part of meaning in which they are interested; the logician traditionally is not interested in the sentence as uttered but in the proposition, an idealised sentence suitable for logical manipulation. [citation needed]