Latest Quotes Added to the Commens Dictionary

The whole discussion of the logical nature of the different kinds of possible signs makes up the first division of logic, or Speculative Grammar. The second division, Critic, discusses the relation of signs to their objects, that is, their truth. The third division, Methodeutic, discusses the relations of signs to their interpretants, that is, their knowledge-producing value.

The whole discussion of the logical nature of the different kinds of possible signs makes up the first division of logic, or Speculative Grammar. The second division, Critic, discusses the relation of signs to their objects, that is, their truth. The third division, Methodeutic, discusses the relations of signs to their interpretants, that is, their knowledge-producing value.

Dual relations, – facts about pairs of subjects, – are of two types, first those which imply no more about their subjects that that they have certain qualities between which some comparison is made; and secondly, those which imply more about their subjects than is true of them in their separate existences, something real and positive which could not be true of one if the other did not exist to enable it to be true, in other words a real action and reaction between the individuals. This is...

A proposition should be defined as that which professes to be true, or assigns a logical value to itself. The Truth is defined as that logical value which a proposition assigns to itself. Whether or not there really is such value, whether there is any truth is a question, not of definitions, but of fact.

A term may conform to the reality or not; that is, it may signify a kind of which there are examples in the universe of discourse or it may not. It is therefore not accurate to define a proposition as which is either true or false. A proposition should be defined as that which professes to be true, or assigns a logical value to itself. The Truth is defined as that logical value which a proposition assigns to itself. Whether or not there really...

Dual relations, – facts about pairs of subjects, – are of two types, first those which imply no more about their subjects that that they have certain qualities between which some comparison is made; and secondly, those which imply more about their subjects than is true of them in their separate existences, something real and positive which could not be true of one if the other did not exist to enable it to be true, in other words a real action and reaction between the individuals. This is...

The second prime division of the sciences consists of Philosophy, which concerns itself, indeed, with positive truths but only with such as would manifestly remain true whatever observation might reveal. Even if it be denied that there is any such truth, a place in the scheme of the sciences must be accorded to this inquiry. For a department of science is not a body of truth but a group of possible researches after truth.

The first prime division [of science] consists of Mathematics, which merely frames hypotheses and traces out their consequences, and alone of all the sciences does not concern itself with positive truth.

A complete argument, with only one premiss, is called an immediate inference. Example: All crows are black birds; therefore, all crows are birds.

…every argument has, as portion of its leading principle, a certain principle which cannot be eliminated from its leading principle. Such a principle may be termed a logical principle.

An argument whose leading principle contains nothing which can be eliminated is termed a complete, in opposition to an incomplete, rhetorical, or enthymematic argument.