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A claim is a substantive statement about a thing, such as an idea, event, individual, or belief. Its truth or falsity is open to debate. Its truth or falsity is open to debate. Arguments or beliefs may be offered in support, and criticisms and challenges of affirming contentions may be offered in rebuttal.
The fifth and sixth examples are meaningful declarative sentences, but are not statements but rather matters of opinion or taste. Whether or not the sentence "Pegasus exists." is a statement is a subject of debate among philosophers. Bertrand Russell held that it is a (false) statement. [citation needed] Strawson held it is not a statement at all.
Intermediate conclusions or sub-conclusions, where a claim is supported by another claim that is used in turn to support some further claim, i.e. the final conclusion or another intermediate conclusion: In the following diagram, statement 4 is an intermediate conclusion in that it is a conclusion in relation to statement 5 but is a premise in ...
Propositional logic deals with statements, which are defined as declarative sentences having truth value. [29] [1] Examples of statements might include: Wikipedia is a free online encyclopedia that anyone can edit. London is the capital of England. All Wikipedia editors speak at least three languages.
In this sense, it forms one area of the philosophy of logic. [1] Central to philosophical logic is an understanding of what logic is and what role philosophical logics play in it. Logic can be defined as the study of valid inferences. [4] [6] [9] An inference is the step of reasoning in which it moves from the premises to a conclusion. [10]
[10] [28] A central motivation behind this method has been to distinguish meaningful from meaningless sentences. This is sometimes expressed through the claim that "[the] meaning of a statement is the method of its verification". [29] Meaningful sentences, like the ones found in the natural sciences, have clear conditions of empirical verification.
A central problem in the philosophy of logic, raised by the contemporary proliferation of logical systems, is to explain how these systems are related to each other. [3] This brings with it the question of why all these formal systems deserve the title "logic".
Kant claims that this is merely a tautology and cannot say anything about reality. However, if the statement is synthetic, the ontological argument does not work, as the existence of God is not contained within the definition of God (and, as such, evidence for God would need to be found). [80]