Figure 3 shows the network that would be generated by ACME for the four propositions given above.
The following proposition was given by Vieira in [20] (see Proposition 5.6 in [20]), but we provide its proof using Lemma 3.3 and Lemma 3.4.
Where the import of a proposition is given by connotation, truth or falsity is determined by denotation.
Regarding the first, Peirce (1998/1992, in 'How to Make Our Ideas Clear', for instance, originally published in 1878) holds that the meaning of a proposition is given by its 'practical consequences' for human experience, such as implications for observation or problem-solving.
We note here that quite similar expressions to the first identity of Proposition 3.7 are given by Kamano [[3], Proposition 2.4], Rim et al. [[8], Theorem 2.7] and Tsumura [[10], (1)].
Ecclesiastical condemnations of propositions considered false or dangerous and threats against the holders of doctrines implied by these propositions gave a more definite status to the Averroists, although many propositions condemned at Paris and Oxford in 1270 and 1277 had nothing to do with Aristotle and little with Averroës.
A proposition is also given by Cao et al. [ 33] to illustrate the superiority of the V-ELM over the original ELM as follows.
The sets A 1, …, A 4 and the sets B 1, …, B 8 are given by Propositions 2 and 3, respectively.
The last piece of evidence relevant to these propositions is a statement given by the police (left( P right)) that a police officer observed a frequent rubbing activity by the suspect.
If m is large enough, then (|omega _{m}-1|leqalpha), where α has the value given by Propositions 4.1, 4.2, and consequently S(R_{m})=sqrt{frac{h_{m}(h_{m}+n-2)}{-beta^{omega _{m}}_{1}}} +o(1), where ({h_{m}}_{m}) is a divergent sequence of natural numbers.
