### What does **propositional function** mean?

# Definitions for propositional function

propo·si·tion·al func·tion

#### Here are all the possible meanings and translations of the word **propositional function**.

### Wiktionary

propositional functionnoun

An expression containing algebraic symbols that serve to represent words or other elements of a sentence or proposition

### Freebase

Propositional function

A propositional function in logic, is a statement expressed in a way that would assume the value of true or false, except that within the statement is a variable (x) that is not defined or specified, which leaves the statement undetermined. Of course, x could also consist of several variables. As a mathematical function, A(x) or A, the propositional function is abstracted from predicates or propositional forms. As an example, let's imagine the predicate, "x is hot". The substitution of any entity for x will produce a specific proposition that can be described as either true or false, even though "x is hot" on its own has no value as either a true or false statement. However, when you assign x a value, such as lava, the function then has the value true; while if you assign x a value like ice, the function then has the value false. Propositional functions are useful in set theory for the formation of sets. For example, in 1903 Bertrand Russell wrote in The Principles of Mathematics: Later Russell examined the problem of whether propositional functions were predicative or not, and he proposed two theories to try to get at this question: the zig-zag theory and the ramified theory of types.

### Numerology

Chaldean Numerology

The numerical value of propositional function in Chaldean Numerology is:

**6**Pythagorean Numerology

The numerical value of propositional function in Pythagorean Numerology is:

**2**

### Translation

#### Find a translation for the **propositional function** definition in other languages:

Select another language:

- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)

### Word of the Day

#### Would you like us to send you a **FREE** new word definition delivered to your inbox daily?

## Citation

#### Use the citation below to add this definition to your bibliography:

"propositional function." *Definitions.net.* STANDS4 LLC, 2022. Web. 23 Jan. 2022. <https://www.definitions.net/definition/propositional+function>.