Logic
Analyzing the development of the natural sciences, he sought to uncover their specific "logic." According to Orlov, the laws of thought should be treated as formal rules, bounded by the laws of identity and contradiction. (When Orlov wrote this, the invention of natural deduction, the sequent calculus, and the semantic tableaux all lay in the future.) We must seek the semantic relation between antecedent and consequent. The main "contradiction of logic" manifests itself in the linkage of premise and corollary, and requires a logic different from the traditional one. If we insist that a corollary be a necessary condition of the premises then, according to Orlov, we necessarily arrive at a non-Aristotelian logic, dialectical in nature.
Read more about this topic: Ivan Orlov (philosopher)
Famous quotes containing the word logic:
“Our argument ... will result, not upon logic by itself—though without logic we should never have got to this point—but upon the fortunate contingent fact that people who would take this logically possible view, after they had really imagined themselves in the other man’s position, are extremely rare.”
—Richard M. Hare (b. 1919)
“We want in every man a long logic; we cannot pardon the absence of it, but it must not be spoken. Logic is the procession or proportionate unfolding of the intuition; but its virtue is as silent method; the moment it would appear as propositions and have a separate value, it is worthless.”
—Ralph Waldo Emerson (1803–1882)
“Though living is a dreadful thing
And a dreadful thing is it
Life the niggard will not thank,
She will not teach who will not sing,
And what serves, on the final bank,
Our logic and our wit?”
—Philip Larkin (1922–1986)