What counts as a logically necessarily true statement and what is not?

Statements are necessarily true (in some system of logic) in virtue of the meaning of their logical connectives, irrespective of their constituents. E.g., the sentence-form “not both p and not-p” is necessarily true in standard propositional logic. Regardless of what sentence you substitute for “p”, it will be true.

What is a logically necessary truth?

When something is logically necessary, it is true by definition. These can also be called analytic truths. If we can prove that something is true because “it could not be otherwise,” then it is logically necessary.

What is a true statement in logic?

Logical and Critical Thinking

A statement is true if what it asserts is the case, and it is false if what it asserts is not the case. For instance, the statement “The trains are always late” is only true if what it describes is the case, i.e., if it is actually the case that the trains are always late.

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What is an example of a logical truth?

On standard views, logic has as one of its goals to characterize (and give us practical means to tell apart) a peculiar set of truths, the logical truths, of which the following English sentences are paradigmatic examples: (1) If death is bad only if life is good, and death is bad, then life is good.

What is the meaning of necessarily true?

‘Necessarily true’ (i.e., ‘true no matter what‘) must be defined as. ‘analytic’ (i.e., with a meaning such that it must express a truth).1. (Premise 2) The same statements, in the sense of ‘statement’ in which we have. the same statement when the same is said of the same objects, can.

What is necessarily false?

When it is extended to modal logic we have the notions of ‘necessarily false’ for statements that are false in every possible world , ‘necessarily true’ for statements that are true in every possible world.

How do you know something is logical?

Therefore, in logic, there must be a set of rules, which would determine whether one’s reasoning is correct or incorrect. If it were correct, it would be logical.

Is a statement that is either true or false but not both?

Statement: a sentence that is either true or false, but not both. It is also called a proposition.

What are truth statements?

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).

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What is this statement which has a truth value but not both?

A true-false statement is any sentence that is either true or false but not both. A negation of a statement has the opposite meaning of a truth value.

What does not necessarily true mean?

Necessarily True means the statement is always True , but it is not the case with not necessarily true which means statement may not be true in some cases . For example , ” A bachelor is an unmarried man ” is necessarily true because by the definition of bachelor it always holds true .

What does necessarily true mean in maths?

A statement is necessarily true if the statement is true in all possible worlds. A necessarily true statement is not contingent and a contingent statement is not necessarily true. A formal tautology is necessarily true.

What is a synonym for not necessarily?

What is another word for not necessary?

gratuitous needless
uncritical accidental
casual not essential
not required beside the point
not needed incidental

How do you use not necessarily in a sentence?

How To Use Not Necessarily In A Sentence?

  1. Girls is pizen, but not necessarily fatal.
  2. But quietude does not necessarily mean freedom from pain.
  3. Band conveyors are not necessarily fixed in one place.
  4. In those days a mask did not necessarily imply mystery.
  5. The best artists are not necessarily the best teachers.

What is another word for not true?

OTHER WORDS FOR false

1 mistaken, incorrect, wrong, untrue. 2 untruthful, lying, mendacious. 3 insincere, hypocritical, disingenuous, disloyal, unfaithful, inconstant, perfidious, traitorous.

What’s another way to say no need?

What is another word for no need?

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unnecessary inessential
gratuitous needless
dispensable unwarranted
expendable extraneous
nonessential peripheral