# Dichotomy

**dichotomousdichotomiesdichotomouslydichotomous branchingdichotomaldichotomicdichotomicaldichotomical oppositiondichotomizeddichotomizing**

A dichotomy is a partition of a whole (or a set) into two parts (subsets).wikipedia

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### Discretization

**discretizeddiscretizingdichotomization**

Treating continuous variables or multicategorical variables as binary variables is called dichotomization.

Dichotomization is the special case of discretization in which the number of discrete classes is 2, which can approximate a continuous variable as a binary variable (creating a dichotomy for modeling purposes, as in binary classification).

### Level of measurement

**quantitativelevels of measurementscale**

The nominal type differentiates between items or subjects based only on their names or (meta-)categories and other qualitative classifications they belong to; thus dichotomous data involves the construction of classifications as well as the classification of items.

### Binary data

**binarybinary variablebinary random variable**

Treating continuous variables or multicategorical variables as binary variables is called dichotomization.

Modeling continuous data (or categorical data of more than 2 categories) as a binary variable for analysis purposes is called dichotomization (creating a dichotomy).

### False dilemma

**false dichotomyblack and white thinkingfalse dichotomies**

### Classification of mental disorders

**Classification of mental disorderdiagnostic categoriespsychiatric classification systems**

Some approaches to classification do not use categories with single cut-offs separating the ill from the healthy or the abnormal from the normal (a practice sometimes termed "threshold psychiatry" or "dichotomous classification" ).

### Mutual exclusivity

**mutually exclusivemutually exclusive eventsexclusion**

### Dummy variable (statistics)

**dummy variableindicator variabledummy variables**

The decision is dichotomous, i.e., the decision has two possible outcomes: yes and no.

### Splitting (psychology)

**splittingpsychological splittingsplit off**

Splitting (also called black-and-white thinking or all-or-nothing thinking) is the failure in a person's thinking to bring together the dichotomy of both positive and negative qualities of the self and others into a cohesive, realistic whole.

### Zeno's paradoxes

**Achilles and the TortoiseparadoxesZeno's paradox**

Three of the strongest and most famous—that of Achilles and the tortoise, the Dichotomy argument, and that of an arrow in flight—are presented in detail below.

### Yin and yang

**yin-yangyinyang**

In Taoist metaphysics, distinctions between good and bad, along with other dichotomous moral judgments, are perceptual, not real; so, the duality of yin and yang is an indivisible whole.

### Polychotomy

**polychotomous**

Polychotomy is a generalization of dichotomy, which is a polychotomy of exactly two parts.

### Trichotomy (philosophy)

**trichotomythreetrichotomies**

### Binary opposition

**binarybinariesbinary model**

### Partition of a set

**partitionpartitionspartitioned**

### Complement (set theory)

**complementset differencecomplements**

The two parts thus formed are complements.

### Logic

**logicianlogicallogics**

In logic, the partitions are opposites if there exists a proposition such that it holds over one and not the other.

### Dual (category theory)

**dualcategorical dualDually**

In logic, the partitions are opposites if there exists a proposition such that it holds over one and not the other.

### Proposition

**propositionspropositionalclaim**

In logic, the partitions are opposites if there exists a proposition such that it holds over one and not the other.

### Continuous or discrete variable

**continuous variablecontinuousdiscrete variable**

Treating continuous variables or multicategorical variables as binary variables is called dichotomization.

### Categorical variable

**categoricalcategorical datadichotomous**

### Discretization error

**digitization errorthrow away discriminative information**

The discretization error inherent in dichotomization is temporarily ignored for modeling purposes.

### Conceptual model

**modelmodelsschema**

The discretization error inherent in dichotomization is temporarily ignored for modeling purposes.

### Collectively exhaustive events

**collectively exhaustiveexhaustiveJointly Exhaustive**