Definitional ambiguity in mathematics

Clarity Problem - (Ramsey Theory) - Vocab, Definition, Explanations

Ambiguity: A situation where a statement or expression can be understood in more than one way, leading to potential confusion in mathematical communication.

Escaping the twin traps of ambiguity and certainty

With this in mind, it becomes critical to evaluate educational claims with the same rigour mathematicians use. Mathematicians routinely ask two ...

Duality, Ambiguity and Flexibility: A Proceptual View of Simple ...

Mathematicians abhor ambiguity and so they rarely speak of such a device, yet it ... precision of definition of modern mathematics (“a function is a set of.

ambiguity - Discrete Mathematics for Dummies

absurdity add addition ambiguity and Associativity Commutativity contradiction contrapositive converse definition De Morgan disjunctive ...

What is the correct result? - The Museum of HP Calculators

New terminology is not needed. There isn't ambiguity - once you've identifed that something is a term, it is clear how the expression is ...

IMPRECISION IN CLASSROOM MATHEMATICS DISCOURSE Keith ...

We theorize about ambiguity in mathematical communication and define a certain subset of ambiguous language usage as imprecise. For us, imprecision in ...

Phil 340: Precision and Messiness in Philosophy - Jim Pryor

Sometimes these terms are made up for mathematical use, such as “homomorphism.” Other times, they are terms that already have some meaning (or several meanings) ...

What is a distinct feature of an ambiguous result? - Physics Forums

For example, "ambiguity" means multiple solutions for the same problem. It is not an error. It can also be said as "grating lobes" in some other ...

Ambiguity

First, symbolic mathematics has essentially unrestricted productive syntax: arbitrary new notation may be defined in mathematical texts. Second, the probability ...

[PDF] On an ambiguity in the definition of the amplitude and phase ...

L. Cohen, P. Loughlin, D. Vakman · Published in Signal Processing 2 December 1999 · Mathematics.

Duality, Ambiguity and Flexibility in Successful Mathematical Thinking

We believe that this ambiguity is at the root of successful mathematical ... process of learning mathematics, in which the precision of definition of modern ...

Ambiguity in the Mathematics Classroom - Högskolan i Halmstad

Mathematics is commonly seen as a discipline with no place for linguistic ambiguity. In this paper, the treatment of ambiguity in two data extracts is ...

Association of Ambiguity Tolerance and Problem-solving Ability of ...

... ambiguity tolerance and their problem-solving ability in mathematics. ... the learned concepts (i.e., definition of an equation versus an expression, definition ...

Mathematical definitions | Thinking Like a Mathematician Class Notes

Ensures that the definition has only one possible interpretation · Eliminates vagueness and potential misunderstandings · Supports consistent ...

How Mathematicians Think | Princeton University Press

Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in ...

Introducing Students to the Role of Assumptions in Mathematical ...

Some studies refer to Byers (Citation2007) for his definition of ambiguity as “a single situation or idea that is perceived in two self- ...

Ambiguity at the Roots of Precision - Institute for Advanced Study

In mathematics, Gödel showed that there are limits to logic, and in computer science Turing proved that we cannot determine in general whether a given computer ...

The PEMDAS Paradox - plus.maths.org

The extra parentheses (brackets) remove the ambiguity and those expressions are well-defined. Most other viral maths problems, such as ...

Mathematics - Wikipedia

... ambiguous). During the 19th ... A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable.

Definition and Examples of Ambiguity in English - ThoughtCo

Ambiguity (pronounced am-big-YOU-it-tee) is the presence of two or more possible meanings in a single passage.