It is not hard to see that this is logically true.
Since lower true probabilities occur infrequently, for computational efficiency we then consider true probabilities equal to 0, and true probabilities greater than zero but less than 0.3, in their own bins.
Thus, (A & B) is true if and only if both A and B are true; (A ∨B) is true if and only if at least one of A and B is true; ~A is true if and only if A is false; and (A ⊃ B) is true unless A is true and B is false.
In either case it is both true and not true.
So all true propositions are equally close to being true.
The student can know that the announcement is true after it becomes true – but not before.
If all beliefs are true, the belief that “Not all beliefs are true” must be true too.
If it is true, it might be true because killing animals wrongfully violates their rights to life (Regan 1975).
But, now, if what Max said is true or not true, then it is both true and not true.
Or one might think like this: “p or q” can be true only if either p is true or q is true (or both are).
“If A, B” is true at w iff B is true at F(A, w), i.e. at w′, the world most similar to w at which A is true.
It is clear from (F-prop) that if it is not the case that Q is true or false, then it is not the case that Q is true or not true.
If (3) is false, or neither true nor false, in both cases it is not true; but this is precisely what it claims to be; therefore, it is true.
Nonetheless, if q is obviously false, then (perhaps) I ought not both believe that p is true and also believe that if p is true then q is true.
To illustrate the need for mathematical induction, assume that a property φ is true of the number zero and also that if true of a number then is true of its successor.
But, now, if every sentence is true or not true, ULiar itself is true or not true, in which case it is both true and not true.
which can be read as “if something is true of a false proposition then if it true of a true proposition, it is true of any proposition” (C00 is a true proposition).
This says that two consecutive announcements can be combined into a single announcement: to announce that F is true and then to announce that G is true will have the same result as announcing the single statement that “F is true and, after F is announced, G is true”.
It is easy to see that this is true in every interpretation of the class of simplest interpretations: if a conditional is true in every possible world and the antecedent of the conditional is true in every world, then the consequent of the conditional is true in every world.
Virtue: If p is the kind of claim that, if true, must be true in virtue of lower-level facts, and if the story is about those lower-level facts, then it must be true in the story that there is some true proposition r which is about those lower-level facts such that p is true in virtue of r. (2004: 18).
- make level, square, balanced, or concentric
Example: true up the cylinder of an engine
- proper alignment; the property possessed by something that is in correct or proper alignment
Example: out of true
- as acknowledged
Example: true, she is the smartest in her class
- accurately placed or thrown
Example: his aim was true
- consistent with fact or reality; not false
Example: the story is true
- expressing or given to expressing the truth
Example: a true statement
- devoted (sometimes fanatically) to a cause or concept or truth
Example: true believers bonded together against all who disagreed with them
- conforming to definitive criteria
Example: the horseshoe crab is not a true crab
- worthy of being depended on
- not pretended; sincerely felt or expressed
- rightly so called
Example: true courage
- determined with reference to the earth's axis rather than the magnetic poles
Example: true north is geographic north
- having a legally established claim
Example: the true and lawful king
- in tune; accurate in pitch
Example: a true note
- accurately fitted; level
Example: the window frame isn't quite true
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