# Definitions for realizablere·al·iz·able

### Princeton's WordNetRate this definition:0.0 / 0 votes

1. realizableadjective

capable of being realized

"realizable benefits of the plan"

2. accomplishable, achievable, doable, manageable, realizableadjective

capable of existing or taking place or proving true; possible to do

### WiktionaryRate this definition:0.0 / 0 votes

1. realizableadjective

Capable of being realized or achieved.

### WikipediaRate this definition:0.0 / 0 votes

1. realizable

In mathematical logic, realizability is a collection of methods in proof theory used to study constructive proofs and extract additional information from them. Formulas from a formal theory are "realized" by objects, known as "realizers", in a way that knowledge of the realizer gives knowledge about the truth of the formula. There are many variations of realizability; exactly which class of formulas is studied and which objects are realizers differ from one variation to another. Realizability can be seen as a formalization of the BHK interpretation of intuitionistic logic; in realizability the notion of "proof" (which is left undefined in the BHK interpretation) is replaced with a formal notion of "realizer". Most variants of realizability begin with a theorem that any statement that is provable in the formal system being studied is realizable. The realizer, however, usually gives more information about the formula than a formal proof would directly provide. Beyond giving insight into intuitionistic provability, realizability can be applied to prove the disjunction and existence properties for intuitionistic theories and to extract programs from proofs, as in proof mining. It is also related to topos theory via the realizability topos.

### Webster DictionaryRate this definition:0.0 / 0 votes

1. Realizableadjective

capable of being realized

### Numerology

1. Chaldean Numerology

The numerical value of realizable in Chaldean Numerology is: 3

2. Pythagorean Numerology

The numerical value of realizable in Pythagorean Numerology is: 1

### Examples of realizable in a Sentence

1. There is nothing truer than myth: history, in its attempt to realize myth, distorts it, stops halfway; when history claims to have succeeded, this is nothing but humbug and mystification. Everything we dream is realizable. Reality does not have to be: it is simply what it is.

### Popularity rank by frequency of use

realizable#10000#81524#100000

## Translations for realizable

### From our Multilingual Translation Dictionary

• uskutečnitelný
• realigebla
• realizable
• realiseerbaar

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"realizable." Definitions.net. STANDS4 LLC, 2023. Web. 30 Mar. 2023. <https://www.definitions.net/definition/realizable>.

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