On this page you'll find 9 example sentences with Ponens. Discover how to use the word correctly in a sentence.
Ponens in a sentence
Using Ponens
- In the example corpus, ponens often appears in combinations such as: modus ponens, ponens and.
Context around Ponens
- Average sentence length in these examples: 23.3 words
- Position in the sentence: 1 start, 5 middle, 3 end
- Sentence types: 9 statements, 0 questions, 0 exclamations
Corpus analysis for Ponens
- In this selection, "ponens" usually appears in the middle of the sentence. The average example has 23.3 words, and this corpus slice is mostly made up of statements.
- Around the word, modus and nothing stand out and add context to how "ponens" is used.
- Recognizable usage signals include for modus ponens to be and is modus ponens. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "ponens" sits close to words such as aargau, abacos and abboud, which helps place it inside the broader word index.
Example types with ponens
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
His rules of proof were limited to modus ponens and substitution. (11 words)
Indeed, after the application of modus ponens, nothing is left but the conclusion, the rest disappears forever. (17 words)
In instances of modus ponens we assume as premises that p → q is true and p is true. (18 words)
This argument is valid, but this has no bearing on whether any of the statements in the argument are true ; for modus ponens to be a sound argument, the premises must be true for any true instances of the conclusion. (40 words)
Given a complete set of axioms (see below for one such set), modus ponens is sufficient to prove all other argument forms in propositional logic, thus they may be considered to be a derivative. (34 words)
Most axiomatic systems have only the rule of modus ponens (and sometimes substitution), so it requires only verifying the validity of the axioms and one rule of inference. (28 words)
Example sentences (9)
Given a complete set of axioms (see below for one such set), modus ponens is sufficient to prove all other argument forms in propositional logic, thus they may be considered to be a derivative.
His rules of proof were limited to modus ponens and substitution.
Indeed, after the application of modus ponens, nothing is left but the conclusion, the rest disappears forever.
In instances of modus ponens we assume as premises that p → q is true and p is true.
In the case of propositional systems the axioms are terms built with logical connectives and the only inference rule is modus ponens.
It can also be shown that no pair of these schemata is sufficient for proving all tautologies with modus ponens.
Most axiomatic systems have only the rule of modus ponens (and sometimes substitution), so it requires only verifying the validity of the axioms and one rule of inference.
The premises are taken for granted and then with the application of modus ponens (an inference rule ) the conclusion follows.
This argument is valid, but this has no bearing on whether any of the statements in the argument are true ; for modus ponens to be a sound argument, the premises must be true for any true instances of the conclusion.
Common combinations with ponens
These word pairs occur most frequently in English texts: