# Converse vs. Inverse

## Difference Between Converse and Inverse

#### Converseverb

To engage in an exchange of thoughts and feelings by means of speech or sign language.

Reversed in order, nature, or effect.

#### Converseverb

(Archaic) To interact socially with others; associate.

(Mathematics) Of or relating to an inverse or an inverse function.

#### Conversenoun

An interchange of thoughts and feelings by means of speech or sign language; conversation.

(Archaic) Turned upside down; inverted.

#### Conversenoun

Social interaction.

#### Inversenoun

Something that is opposite, as in sequence or character; the reverse.

#### Conversenoun

Something that has been reversed; an opposite.

#### Inversenoun

The reciprocal of a designated quantity. Also called multiplicative inverse.

#### Conversenoun

(Logic) A proposition obtained by conversion.

#### Inversenoun

The negative of a designated quantity. Also called additive inverse.

Reversed, as in position, order, or action; contrary.

Opposite in effect, nature or order.

#### Converseverb

to talk; to engage in conversation

Reverse, opposite in order.

#### Converseverb

to keep company; to hold intimate intercourse; to commune; followed by with

(botany) Inverted; having a position or mode of attachment the reverse of that which is usual.

#### Converseverb

(obsolete) to have knowledge of (a thing), from long intercourse or study

(mathematics) Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.

Multiplication is the inverse operation to division.

#### Conversenoun

familiar discourse; free interchange of thoughts or views; conversation; chat.

(geometry) That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.

A circle inversion maps a given generalized circle to its inverse generalized circle.

#### Conversenoun

the opposite or reverse

Whose every element has an inverse (morphism which is both a left inverse and a right inverse).

#### Conversenoun

(logic) of a proposition or theorem of the form: given that "If A is true, then B is true", then "If B is true, then A is true."
equivalently: given that "All Xs are Ys", then "All Ys are Xs".

All trees are plants, but the converse, that all plants are trees, is not true.

#### Inversenoun

An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.

Cowgirl is the inverse of missionary.321 is the inverse of 123.

#### Conversenoun

(semantics) one of a pair of terms that name or describe a relationship from opposite perspectives; converse antonym; relational antonym

#### Inversenoun

The result of an inversion, particularly:

opposite; reversed in order or relation; reciprocal

a converse proposition

#### Inversenoun

The reverse of any procedure or process.

Uninstalling is the inverse of installation.

#### Conversenoun

a proposition obtained by conversion

#### Inversenoun

(mathematics) A ratio etc. in which the antecedents and consequents are switched.

The inverse of a:b is b:a.

#### Converseverb

carry on a conversation

#### Inversenoun

(geometry) The result of a circle inversion; the set of all such points; the curve described by such a set.

The inverse P‘ of a point P is the point on a ray from the center O through P such that OP × OP‘ = r² or the set of all such points.

of words so related that one reverses the relation denoted by the other;

parental' and filial' are converse terms

#### Inversenoun

(logic) The non-truth-preserving proposition constructed by negating both the premise and conclusion of an initially given proposition.

"Anything that isn't a dog doesn't go to heaven" is the inverse of "All dogs go to heaven." More generally, $\lnot\mathsf\left\{p\right\}\to\lnot\mathsf\left\{q\right\}$ is the inverse of $\mathsf\left\{p\right\}\to\mathsf\left\{q\right\}$ and is equivalent to the converse proposition $\mathsf\left\{q\right\}\to\mathsf\left\{p\right\}$.

turned about in order or relation;

transposed letters

#### Inversenoun

(mathematics) A second element which negates a first; in a binary operation, the element for which the binary operation—when applied to both it and an initially given element—yields the operation's identity element, specifically:

#### Inversenoun

(addition) The negative of a given number.

The additive inverse of $x$ is $-x$, as $x-x=0$, as $0$ is the additive identity element.

#### Inversenoun

(multiplication) One divided by a given number.

The multiplicative inverse of $x$ is $x^\left\{-1\right\}$, as $x \times x^\left\{-1\right\}=1$, as $1$ the multiplicative identity element.

#### Inversenoun

(functions) A second function which, when combined with the initially given function, yields as its output any term inputted into the first function.

The compositional inverse of a function $f$ is $f^\left\{-1\right\}$, as $f\ f^\left\{-1\right\}=\mathit\left\{I\right\}$, as $\mathit\left\{I\right\}$ is the identity function. That is, $\forall x,f\left(f^\left\{-1\right\}\left(x\right)\right)=\mathit\left\{I\right\}\left(x\right)=x$.

#### Inversenoun

(category theory) A morphism which is both a left inverse and a right inverse.

#### Inversenoun

(card games) The winning of the coup in a game of rouge et noir by a card of a color different from that first dealt; the area of the table reserved for bets upon such an outcome.

#### Inversenoun

A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

#### Inverseverb

(surveying) To compute the bearing and distance between two points.

#### Inversenoun

something inverted in sequence or character or effect;

when the direct approach failed he tried the inverse

reversed (turned backward) in order or nature or effect

opposite in nature or effect or relation to another quantity ;

a term is in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases)