Therefore, we must suppose an infinite God as the First Cause of the world even though an actual infinity violates the laws of thought.
12.
This proof used his well-ordering principle " every set can be well-ordered ", which he called a " law of thought ".
13.
It cannot have come into existence without an efficient cause ( since that would violate the law of causality, one of the basic laws of thought ).
14.
George Boole, the 19th-century British mathematician who invented the two-symbol logic, grandiosely called his system " The Laws of Thought ."
15.
Many philosophers argue to the contrary, believing that, for example, the laws of thought cannot be revised and may be " held come what may ".
16.
Like the law of the excluded middle, this principle is considered to be a law of thought in classical logic, but it is disallowed by intuitionistic logic.
17.
Laws of thought are rules that apply without exception to any subject matter of thought, etc .; sometimes they are said to be the object of logic.
18.
It is to be presumed fundamentally that the species, man, is a unity, and that " the same laws of thought are applicable to all men ".
19.
Boole's unwavering acceptance of Aristotle's logic is emphasized by the historian of logic John Corcoran in an accessible introduction to " Laws of Thought"
20.
Kant reviewing the enterprise of Aristotle in modern times has given a complete list of the laws of thought, but it is arbitrary in classification and may be legitimately reduced.
