Sentence examples for logical phenomena from inspiring English sources

Thus theorem (4) can be seen as the most general formulation of the mathematical logical phenomena that underlies the isomorphism theorems between the congruences of the algebras in a certain class and some kind of subsets of them we mentioned in Section 9.

As the actual arguments using these methods quickly get somewhat complicated, but introduce no new logical phenomena as such — weak and strong counterexamples can also be given by other means — we refer to the literature for further details: Brouwer 1949A, Brouwer 1949B, Brouwer 1954F; Heyting 1956 (pp. 117 120); Myhill 1968; Dummett 2000a (pp. 244 245).

To classify propositions and even propositional functions as instances of the same logical phenomenon as definite descriptions requires a considerable broadening of the notion.

The bootstrap procedure implicitly views perfect prediction as a logical phenomenon, whereas the augmentation procedure implicitly views it as random (the X = 0 group in Fig. 3 has a few successes imputed by Normal/augment, but none by Bootstrap).

A concept of mixing distributed real and virtual worlds through a unified human-machine interface connecting logical to physical phenomena will be introduced and shown how this can be used for distributed collaboration if two or more physical locations and environments are involved.

As we do not at this time have a physiological basis for using the quadratic function, rather chose this as the best phenomenon logical fit to the observations.

According to Peruvian marine biologist and marine biology teacher at Universidad Cientifica del Sur Angel Perea De La Matta, the clam's appearance is a logical, if curious, phenomenon.

They are in a relation of logical dependence with the phenomena of which they form a part.

The literature on substructural logics provides us with a number of different ways that the ternary relational semantics can be applied to describe the logical structure of some phenomena in which the traditional structural rules do not apply.

Intuitions seem to conflict, and it is difficult to find ways to model the important phenomena using logical techniques.[35] Fagin et al. 1984 begins a tradition in computational logic that revives the modal approach to epistemic logic, developing generalized logical foundations and applications that had not occurred to the philosophers.

Although such gene networks are phenomenological because they do not explicitly represent the proteins and metabolites that mediate cell interactions, they are a logical way of describing phenomena observed with transcription profiling, such as those that occur with popular microarray technology.