So yeah, definitions you make are true by default in a subjective universe you build until the definition you made is questioned in which case , your definition is replaced, altered or stays the same. Whether your definitions are objetively true in any context is another case.
What things have truth values?
There are many candidates for the sorts of things that can bear truth-values:
What does not have a truth value?
[A sentence which cannot be said to be true or false is without truth value, and therefore does not assert a “statement.” Questions and commands, for example are genuine sentences, but do not assert statements and thus have no truth value.]
Do all statements have a truth value?
All statements (by definition of “statements”) have truth value; we are often interested in determining truth value, in other words in determining whether a statement is true or false. Statements all have truth value, whether or not any one actually knows what that truth value is.
What is meant by truth values?
Definition of truth-value
: the truth or falsity of a proposition or statement.
Are definitions always true or they can be false?
Brentano says of definitions that they are composite names: “A name which is composed of several names and which names all logical parts of a logical whole from the highest genus of its range to its lowest species, is called a definition.”2 Accordingly, we cannot say that they are true or false.
What is truth value of true?
In classical logic, with its intended semantics, the truth values are true (denoted by 1 or the verum ⊤), and untrue or false (denoted by 0 or the falsum ⊥); that is, classical logic is a two-valued logic. This set of two values is also called the Boolean domain.
How do you determine the truth value of a statement?
That are true that would be P and R. And false for the one that's solve. Which is Q. And then begin simplifying as you well know not false is true and not true is false.
When premises have truth values then it is called as?
1. Introduction. A statement can be defined as a declarative sentence, or part of a sentence, that is capable of having a truth-value, such as being true or false.
In what type of logic do we have the truth values written as rather true not very true not very false more or less false more or less true?
Standard logic has two truth values. One truth value is “true”, often written or 1, the other truth value is “false”, often written or 0. A statement has exactly one of these two values. There are other logics besides the classical 2-valued Boolean logic, but they’re not used as much.
What is the truth value of the compound statement ∼ P ∧ Q ∨ ∼ R given that p is false Q is true and R is false?
So because we don’t have statements on either side of the “and” symbol that are both true, the statment ~p∧q is false. So ~p∧q=F. Now that we know the truth value of everything in the parintheses (~p∧q), we can join this statement with ∨p to give us the final statement (~p∧q)∨p.
What is the truth value of true or false?
In this way, the conjunction itself has its own truth value which is distinct from each of the conditions contained within (ie one of the conditions may be true, but the value of the conjunction is false).
AND truth table.
|P||Q||P AND Q|
Can something be not true and not false?
In the classical logic something is neither true nor false if it is grammatically malformed to have a truth value, so 2+5 or “x is blue” are not “true”, but not “false” either, they are not truth-apt.
Can definitions be wrong?
Definitions can go wrong by using ambiguous, obscure, or figurative language. This can lead to circular definitions. Definitions should be defined in the most prosaic form of language to be understood, as failure to elucidate provides fallacious definitions. Figurative language can also be misinterpreted.
Can two opposite things be true?
Dialetheism (from Greek δι- di- ‘twice’ and ἀλήθεια alḗtheia ‘truth’) is the view that there are statements which are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true. Such statements are called “true contradictions”, dialetheia, or nondualisms.