Here, then, one finds the sage using basic philosophical distinctions about the varying degrees of validity and soundness by which premises and syllogisms are classified as either demonstrative, dialectical, rhetorical, poetic, or sophistical, to call into question the presumed soundness and certainty of whatever the philosophers have to say.
However, Aristotle states his results not by saying that certain premise-conclusion combinations are invalid but by saying that certain premise pairs do not "syllogize": that is, that, given the pair in question, examples can be constructed in which premises of that form are true and a conclusion of any of the four possible forms is false.
Going beyond his basic syllogistic, Aristotle reduced the 3rd and 4th first figure syllogisms to second figure syllogisms, thus de facto reducing all syllogisms to Barbara and Celarent; and later on in the Prior Analytics he invokes a type of cut-rule by which a multi-premise syllogism can be reduced to two or more basic syllogisms.
Police subsequently arrived and escorted Douglas and the Hartmans' two children from the premises, by which time Brynn had locked herself in the bedroom and committed suicide by shooting herself in the head.
Healthy physical condition is the natural foundation for human existence and development, and the material conditions of life, which provide its material foundation, is the premise by which life quality is evaluated.
Ideally, a valid AD would be sufficiently robust and not affected by changes in dataset, thus allowing the maintenance of the general AD premise by which a model's performance degrades as the queried instances get farther away from the training chemical space.
The demonstration of a scientific truth is accomplished by means of a series of syllogisms a form of argument invented by Aristotle in which the premises of each syllogism in the series are justified as the conclusions of earlier syllogisms.
The persuasive appeal of CAM is premised on the fundamental assumptions and principles by which the system operates.
Premises of modus ponens can be joined by fusion (denoted by ), which is like the application operation in the strongest relevance logic.
The ingoing contact chain contains all possible paths onto a premise in a given time interval, taking the sequence by which the connecting movements occur into account.
But leaps in machine learning, by which artificial intelligences are programmed to teach themselves, have started pushing at that premise.
