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In model theory, a transfer principle states that all statements of some language that are true for some structure are true for another structure. One of the first examples was the Lefschetz principle, which states that any sentence in the first-order language of fields that is true for the complex numbers is also true for any algebraically closed field of characteristic 0.
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In model theory, a transferprinciple states that all statements of some language that are true for some structure are true for another structure. One...
hyperreal numbers satisfy the transferprinciple, a rigorous version of Leibniz's heuristic law of continuity. The transferprinciple states that true first-order...
language Transfer of learning, in education Transfer function in mathematics Transfer (group theory), a type of homomorphism Transferprinciple, in mathematics...
hyperreals implement an infinitesimal-enriched continuum and the transferprinciple implements Leibniz's law of continuity. The standard part function...
argued that this law of continuity of Leibniz's is a precursor of the transferprinciple. Robinson continued: However, neither he nor his disciples and successors...
group, Hessian pairs, Hesse's theorem, Hesse pencil, and the Hesse transferprinciple are named after him. Many of Hesse's research findings were presented...
numbers. By applying the induction principle for the standard integers N and the transferprinciple we get the principle of internal induction: For any internal...
natural hyperreal extension usually denoted f* (see discussion of Transferprinciple in main article at nonstandard analysis). Using the notation ≈ {\displaystyle...
infinitesimals, laying the groundwork for infinitesimal calculus. The transferprinciple provides a mathematical implementation of the law of continuity in...
all real x and equals the greatest integer not exceeding x. By the transferprinciple of nonstandard analysis, there exists a natural extension: ∗ ⌊ ⋅ ⌋...
In logic, the law of excluded middle or the principle of excluded middle states that for every proposition, either this proposition or its negation is...
sink (also commonly spelled heatsink,) is a passive heat exchanger that transfers the heat generated by an electronic or a mechanical device to a fluid...
k.} This completes the proof. The Lefschetz principle, one of the first examples of a transferprinciple, extends this result. A first-order sentence...
x} is the union of x with (a copy of) itself. Transferprinciple The Pigou–Dalton, or transferprinciple, is the assumption that makes an inequality metric...
existence of the "transfer idea". According to Morris, while not discounting other reasons for the exodus, the "transferprinciple" theory suggests that...
(LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions...
model. The concept of internal sets is a tool in formulating the transferprinciple, which concerns the logical relation between the properties of the...
The principle is thus not available in constructive set theory, where non-classical logic is employed. The situation is different when the principle is...
The uncertainty principle, also known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is...
belated vindication of Leibniz's mathematical reasoning. Robinson's transferprinciple is a mathematical implementation of Leibniz's heuristic law of continuity...
Wireless power transfer (WPT), wireless power transmission, wireless energy transmission (WET), or electromagnetic power transfer is the transmission of...
graph is never intersected by any horizontal line more than once. This principle is referred to as the horizontal line test. Functions with left inverses...
addition of vectors. Important theorems of screw theory include: The TransferPrinciple proves that geometric calculations for points using vectors have parallel...
logic Strength Theories of truth semantic Tarski's Kripke's T-schema Transferprinciple Truth predicate Truth value Type Ultraproduct Validity Computability...