2023年4月8日 · An abstract concept is different: Abstract concepts refer to entities that have no physical or spatial constraints because they have no direct representation in the physical world. It does not exist at a particular time or place but as a type of thing. Examples of abstract concepts are emotions, metaphors, and abstract actions (e.g., thinking).

The answer is yes. For example, fiction maybe abstract by pertaining to ideas. As for 'Conversely, does an abstract concept imply that it is real?' Not at all. Being abstract is no guarantee for being real. As we just discussed, fiction (which is decidedly unreal) maybe abstract.

2023年9月13日 · But so abstracting(!) over the notion of properties to the question of properties-vs.-tropes, with tropes supposed to be abstract particulars, we can make a little bit of terminological headway by rephrasing "abstract particular" as "particular that encodes a property," i.e. there is no absolute reason to suppose that no particular encodes any ...

2022年12月16日 · The adjective 'abstract' is a modifier meaning conceptual, idealized, or theoretical. The verb 'to abstract' means to make something more general and universal by removing specific, concrete details The noun abstract* is a summary of a paper containing only the key points, without any of the details of research or reasoning.

2024年4月5日 · It’s a property of sets, but each infinite set is considered an abstract mathematical object. Classes of infinite sets, such as countably infinite sets (like the natural numbers) and continuous sets (like the real numbers) are considered equivalent (that is, the elements of any two sets in the class can be put into one-to-one correspondence ...

The concept of "infinite" is an abstract mental construct. By very definition, "infiniteness" cannot be measured. By that admission, it might be tempting to conclude it is a fabrication. It might be an idea that only exists inside the human mind.

2023年3月1日 · A concept is a formalized notion, that is, an idea that is objectively agreed, and usually it is written. A type is a named abstraction (e.g. all "one-digit" numbers). What is particular in some universe can be general in another.

2021年2月15日 · So as i understand according to Aristotle's theory of abstraction every abstract concept (i.e universal) is instantiated (or abstracted) from it particulars in the outside world if that so how can we explain the existence of the concept "Nothingness" (or the concept of "impossible") in our minds if it has no particulars (Nothingness does not exist)

2022年5月17日 · For a particular logic, such as classical logic, the constants ¬ ∧ ∨ ⊃ ∀ ∃, etc., have a fixed meaning, while the predicates, names and functions require an interpretation in order to have a definite meaning. In this way, logic is sometimes described as being 'topic neutral'.

2017年6月28日 · Reality is concrete and mathematics is abstract: truth is concrete because it has to do with "the way the world is". We may consider also a "more subtle" point of view: Andrey Kolmogorov was a 20th-century Russian mathematician that contributed to many area of mathematics, included the so-called Brouwer–Heyting–Kolmogorov interpretation ...