Within this tradition there have been two main approaches: a formal style deriving from logic and an informal style emphasizing ordinary language.
If logical analysis could illuminate the foundations of mathematics by showing how it could all be derived from logic by substitution of synonyms, perhaps it could also illuminate the foundations of the rest of our knowledge by showing how its claims could similarly be derived from logic and experience.
He would like to derive mathematics from logic, which is based on the Laws of Thought, and in doing so he makes (a rather controversial) use of mathematical symbols when establishing his logical formalism.
Presumably, these results derive from the logic of the transcriptional regulatory network and its growth condition-dependant patterns of transcriptional activators and repressors.
Indeed, the passion with which Russell pursued the project of deriving mathematics from logic owed a great deal to what he would later somewhat scornfully describe as a "kind of mathematical mysticism".
Of course, such a proposal did presume that all of our concepts were "derived" either from logic or experience, but this seemed in keeping with the then prevailing presumptions of empiricism, which, they assumed, had been vindicated by the immense success of the empirical sciences.
But it supplements that with a vast array of other systems, many of which work on entirely different principles (derived from symbolic logic).
It is a textbook derived from the logic of Petrus Ramus, a 16th-century French scholar whose work reflected the impact of Renaissance humanism on the so-called medieval trivium: the arts of grammar, rhetoric, and logic.
We use a time-domain priority which is derived from fuzzy logic and is a function of the user's HoL packet delay, time-averaged channel quality and packet loss rate.
The biodiversity portfolio analysis (BPA) method is derived from the logic used in share (equity) portfolio management in terms of balancing within a portfolio the returns with the risks.
