Difference between revisions of "Introduction"

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  }} Jan;41:e150.</ref> is the issue of verifiability. According to Hempel’s paradox, every example that does not contradict a theory confirms it, which is described as:
  }} Jan;41:e150.</ref> is the issue of verifiability. According to Hempel’s paradox, every example that does not contradict a theory confirms it, which is described as:


<math>A \Rightarrow B = \lnot A \lor B</math>{{Tooltip|<math>A \Rightarrow B = \lnot A \lor B</math>|Let’s consider the statement: “If a person has TMDs, then they experience orofacial pain.” We can represent this in logic as <math>A \Rightarrow B = \lnot A \lor B</math>, where:<math>A</math> represents "The person has TMDs."<math>B</math> represents "The person experiences orofacial pain." In this case, "If a person has TMDs, then they experience orofacial pain" is equivalent to saying “either the person does not have TMDs (<math>\lnot A</math>), or they experience orofacial pain (<math>B</math>)”. The formula is true in the following cases: If the person does not have TMDs (<math>\lnot A</math>), the statement is true, regardless of orofacial pain. If the person has TMDs (<math>A</math>) and experiences orofacial pain (<math>B</math>), the statement is true.
{{Tooltip|<math>A \Rightarrow B = \lnot A \lor B</math>|Let’s consider the statement: “If a person has TMDs, then they experience orofacial pain.” We can represent this in logic as <math>A \Rightarrow B = \lnot A \lor B</math>, where:<math>A</math> represents "The person has TMDs."<math>B</math> represents "The person experiences orofacial pain." In this case, "If a person has TMDs, then they experience orofacial pain" is equivalent to saying “either the person does not have TMDs (<math>\lnot A</math>), or they experience orofacial pain (<math>B</math>)”. The formula is true in the following cases: If the person does not have TMDs (<math>\lnot A</math>), the statement is true, regardless of orofacial pain. If the person has TMDs (<math>A</math>) and experiences orofacial pain (<math>B</math>), the statement is true.
The statement is false only if the person has TMDs (<math>A</math>) but does not experience orofacial pain (<math>\lnot B</math>), contradicting the implication condition.}}
The statement is false only if the person has TMDs (<math>A</math>) but does not experience orofacial pain (<math>\lnot B</math>), contradicting the implication condition.}}


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