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In mathematical logic, a sentence (or closed formula) [1] of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence can be viewed as expressing a proposition , something that must be true or false.
In this example, both sentences happen to have the common form () for some individual , in the first sentence the value of the variable x is "Socrates", and in the second sentence it is "Plato". Due to the ability to speak about non-logical individuals along with the original logical connectives, first-order logic includes propositional logic.
[1] A Propositional Function, or a predicate, in a variable x is an open formula p(x) involving x that becomes a proposition when one gives x a definite value from the set of values it can take. According to Clarence Lewis, "A proposition is any expression which is either true or false; a propositional function is an expression, containing one ...
Dimensional analysis may be used as a sanity check of physical equations: the two sides of any equation must be commensurable or have the same dimensions. A person who has calculated the power output of a car to be 700 kJ may have omitted a factor, since the unit joules is a measure of energy, not power (energy per unit time).
1. A feeling that motivates you to do something. 2. Sharp and pointy things. 3. These details are found on something you listen to (or possibly collect). 4. These terms form the last part of a ...
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation a n + b n = c n for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions. [1]
Josh Allen reflected on Buffalo’s many offseason critics and doubters when asked about the Bills achieving their latest milestones while sewing up the AFC’s No. 2 seed with a 40-14 rout of the ...
Microsoft faces legal action in Britain over a claim that thousands of businesses using cloud computing services provided by Amazon, Google and Alibaba could be paying higher licence fees to use ...