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The plausibility that the sun will rise tomorrow increases with the number of days on which the sun has risen so far. Specifically, assuming p has an a-priori distribution that is uniform over the interval [0,1], and that, given the value of p, the sun independently rises each day with probability p, the desired conditional probability is:
While deductive logic allows one to arrive at a conclusion with certainty, inductive logic can only provide a conclusion that is probably true. [non-primary source needed] It is mistaken to frame the difference between deductive and inductive logic as one between general to specific reasoning and specific to general reasoning. This is a common ...
[44] [45] [46] The currently dominant system is known as classical logic and covers many additional forms of inferences besides syllogisms. So-called extended logics are based on classical logic and introduce additional rules of inference for specific domains. For example, modal logic can be used to reason about what is possible and what is ...
Sun-Joo Shin is a Korean-American philosopher known for her work on diagrammatic reasoning in mathematical logic, including the validity of reasoning using Venn diagrams, the existential graphs of Charles Sanders Peirce, and the philosophical distinction between diagrammatic and symbolic reasoning. [1]
A proposition that has been proven to be true within a specific system of logic, based on the system's axioms and inference rules. logical truth A statement that is true in all possible worlds or under all possible interpretations, due to its logical form rather than the content of its terms. logical validity
These systems typically employ electronic logic which controls device motors or actuators to follow the sun based on a mathematical formula. This formula is typically a pre-programmed sun path chart, detailing where the sun will be at a given latitude and at a given date and time for each day.
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The apparent sun is the true sun as seen by an observer on Earth. [4] Apparent solar time or true solar time [a] is based on the apparent motion of the actual Sun. It is based on the apparent solar day, the interval between two successive returns of the Sun to the local meridian. [5] [6] Apparent solar time can be crudely measured by a sundial. [b]