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Either true or false, but not both
- We define a proposition (sometimes called a statement, or an assertion) to be a sentence that is either true or false, but not both.
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Dec 19, 2005 · Is a fact just a true proposition? There are metaphysical and linguistic arguments to the contrary. Here is a standard metaphysical argument. The fact that snow is white couldn’t exist if snow wasn’t white, but the true proposition would (only it would be false). Therefore, the fact isn’t the true proposition (See Moore 1953, p. 308).
- The Multiple Relation Theory
Moreover, it derives its key semantic features from those of...
- Singular Propositions
The proposition is not true in 1820, because it did not...
- The Multiple Relation Theory
Reasoning involves claims or statements—making them and backing them up with reasons, drawing out their consequences. Propositions are the things we claim, state, assert. Propositions are the kinds of things that can be true or false. They are expressed by declarative sentences.
Apr 21, 2023 · The four basic truth-functional connectives are: conjunction, disjunction, negation, and conditional. In the remainder of this section, we will discuss only conjunction. As we’ve seen, a conjunction conjoins two separate propositions to form a complex proposition.
Sep 18, 2023 · Imagine a statement that can either be true or false – that’s essentially what a proposition is. It’s a declaration about the state of affairs in the world, one that can be clearly agreed upon or refuted. To put it simply, a proposition is an assertion with a truth value.
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Jun 9, 2023 · When propositions are contradictory, the truth of one proposition implies the falsity of the other and vice versa. In other words, if one is true the other must be false, and if one is false the other must be true. For example: A: All cats are mammals. O: Some cats are not mammals.
Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions. In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components (other than its logical constants).
A proposition must have the following two features in it: It must proclaim or declare something. It must have a definite truth value; that is, either true or false but not both. Any sentence missing any of the two stated features will not be considered a proposition.