A syllogism with an unstated major or minor premise , or even an unstated conclusion , needs to be examined with care because the omitted statement may contain an inaccurate generalization .
This model is less constrained than the syllogism and makes allowances for the important elements of probability , backing , or proof for the premise and rebuttal of the reader 's objections .
这种模式的限制比三段论少，并为前提的证明、支持或可能性元素和反驳读者的反对留有余地。
Deductive reasoning often utilizes the syllogism , a line of thought consisting of a major premise , a minor premise and a conclusion ; for example , all men are foolish ( major premise ) ; smith is a man ( minor premise ) ; therefore , smith is foolish ( conclusion ) .
If for instance we take the syllogism ( not as it was understood in the old formal logic , but as its real value ) , we shall find it gives expression to the law that the particular is the middle term which fuses together the extremes of the universal and the singular .
