Knowledge when acquired must be thrown into logical form and we are obliged to adopt the language of logic since only logic has a communicable language.

The concept of logical thinking is selection and this is brought about by the processes of acceptance and rejection. Rejection is the basis of logical thinking.

New knowledge [of] the objects of investigation comes not through observation and experiment (as happens on the empirical level) but through logical judgments in the framework of a given or newly developed theory (i.e., special groups of concepts and statements united by rules of logic)

Logic is the foundation of the certainty of all the knowledge we acquire.

Philosophical knowledge is the knowledge gained by reason from concepts; mathematical knowledge is the knowledge gained by reason from the construction of concepts.

Logic aims to instruct the human mind as to its own nature and processes; it will lay bare the interior working of our mind for our guidance. The object of the study of logic is thought, its nature, and its proper classification.

Philosophical knowledge is knowledge which reason gains from concepts; mathematical knowledge is knowledge which reason gains from the construction of concepts.

True knowledge, in this perspective, is always indirect knowledge; it is composed of reported statements, that are incorporated into metanarratives of a subject that source their legitimacy.

Logic is the necessary product of intelligence and sincerity. It cannot be learned. It is the child of a clear head and a good heart.

Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding.

Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. The basic of logic is the syllogism, consisting of a major and a minor premise and a conclusion - thus:

Major Premise: Sixty men can do a piece of work sixty times as quickly as one man.
Minor Premise: One man can dig a post-hole in sixty seconds; Therefore-
Conclusion: Sixty men can dig a post-hole in one second.

This may be called syllogism arithmetical, in which, by combining logic and mathematics, we obtain a double certainty and are twice blessed.

Every knowledge in which the reason is involved is not a rational knowledge. It means that any knowledge because the reason is involved in it cannot be considered as a rational knowledge. In a rational knowledge, it is necessary that in addition to the existence of reason, the judgment of reason about the thing that is to be known should be consistent with the reason and be rational. It is also necessary that the result of this knowledge be rational so that we consider that knowledge a rational knowledge (the necessary and sufficient conditions for rational knowledge).

Logic teaches us that on such and such a road we are sure of not meeting an obstacle; it does not tell us which is the road that leads to the desired end. For this, it is necessary to see the end from afar, and the faculty which teaches us to see is intuition. Without it, the geometrician would be like a writer well up in grammar but destitute of ideas.

It is with logic as it is with other sciences. They draw wisdom from the mysterious source of plain experience. Agriculture, e. g., aims to teach the farmer how to cultivate the soil; but fields were tilled long before any agricultural college had begun its lectures. In the same way human beings think without ever having heard of logic. But by practice they improve their innate faculty of thought, they make progress, they gradually learn to make better use of it. Finally, just as the farmer arrives at the science of agriculture, so the thinker arrives at logic, acquires a clear consciousness of his faculty of thought and a professional dexterity in applying it.