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The metamathematical value of the principle of explosion is that for any logical system where this principle holds, any derived theory which proves ⊥ (or an equivalent form, ) is worthless because all its statements would become theorems, making it impossible to distinguish truth from falsehood.
This necessity is driven by the varying, and conflicting, claims of different philosophies. The rules of logic have no ability to distinguish truth on their own. An individual must determine what standards distinguish truth from falsehood. Not all criteria are equally valid. Some standards are sufficient, while others are questionable. [1]
These include the question of defining truth; whether it is even possible to give an informative definition of truth; identifying things as truth-bearers capable of being true or false; if truth and falsehood are bivalent, or if there are other truth values; identifying the criteria of truth that allow us to identify it and to distinguish it ...
A false statement, also known as a falsehood, falsity, misstatement or untruth, is a statement that is false or does not align with reality. This concept spans various fields, including communication, law, linguistics, and philosophy. It is considered a fundamental issue in human discourse.
Stephen Colbert, portraying his character Dr. Stephen T. Colbert, chose the word truthiness just moments before taping the premiere episode of The Colbert Report on October 17, 2005, after deciding the originally scripted word – "truth" – was not absolutely ridiculous enough: "We're not talking about truth, we're talking about something that seems like truth – the truth we want to exist ...
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There were five experimental procedures used in this study. Study 1–3 asked participants to speak, hand write or type a true or false statement about abortion. The participants were randomly assigned to tell a true or false statement. Study 4 focused on feelings about friends and study 5 had the students involved in a mock crime and asked to lie.
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