# Modal vs Formula - What's the difference?

modal | formula |

## In context|logic|lang=en terms the difference between modal and formula

is that modal is (logic) a modal proposition while formula is (logic) a syntactic expression of a proposition, built up from quantifiers, logical connectives, variables, relation and operation symbols, and, depending on the type of logic, possibly other operators such as modal, temporal, deontic or epistemic ones.

## As nouns the difference between modal and formula

is that modal is (logic) a modal proposition while formula is (mathematics) any mathematical rule expressed symbolically.

## As a adjective modal

is of, or relating to a mode or modus.

# modal

## English

### Adjective

(en adjective)
• of, or relating to a mode or modus
• (grammar) of, relating to, or describing the mood of a clause
• (grammar) modal verb
• *
• Using the same type of distributional criterion, we could argue that only a Verb (in its base form) can occur in the position marked — in (23) below to complete the sentence:
(23)     They/it can —
[...]
Conversely, the only type of word which could be used to begin a three-word sentence such as (25) below:
(25)     — I be frank?
is a Modal : cf. [...]
• (music) of, relating to, or composed in the musical modi by which an octave is divided, associated with emotional moods in Ancient — and in medieval ecclesiastical music
• (logic) of, or relating to the modality between propositions
• (statistics) relating to the statistical mode.
• (computing) Having separate modes in which user input has different effects.
• (computer science) requiring immediate user interaction (often used as modal dialog'' or ''modal window )
• (metaphysics) Relating to the form of a thing rather to any of its attributes
• #### Synonyms

* forming * conditioning

#### Derived terms

* modality * modally * modal auxiliary * modal logic * modal particle * quasimodal

### Noun

(en noun)
• (logic) A modal proposition
• (linguistics) A modal form, notably a modal auxiliary.

* * * ----

# formula

## English

### Noun

(wikipedia formula)
• (mathematics) Any mathematical rule expressed symbolically.
• $x = \frac \left\{-b \pm \sqrt\left\{b^2 - 4ac\right\}\right\}\left\{2a\right\}$ is a formula for finding the roots of the quadratic equation ax2 + bx + c = 0 .
• (chemistry) A symbolic expression of the structure of a compound.
• H2O is the formula for water (Dihydrogen monoxide)
• a plan or method for dealing with a problem or for achieving a result
• The company's winning formula includes excellent service and quality products.
• A formulation; a prescription; a mixture or solution made in a prescribed manner; the identity and quantities of ingredients of such a mixture.
• The formula of the rocket fuel has not been revealed.
• Drink given to babies to substitute for mother's milk.
• (logic) A syntactic expression of a proposition, built up from quantifiers, logical connectives, variables, relation and operation symbols, and, depending on the type of logic, possibly other operators such as modal, temporal, deontic or epistemic ones.
• #### Synonyms

* (in mathematics) mathematical formula * (in chemistry) chemical formula

#### Hyponyms

* (logic) sentence

#### Derived terms

* (l) * formulate * formulation * Formula One * formula racing * multiformula