Wednesday, 24 February 2016

Why Mathematical Equations Are Part Of Language

E
=
mc2
Token/Identified
Process: intensive
Value/Identifier

Energy
equals
mass multiplied by the speed of light squared
Token/Identified
Process: intensive
Value/Identifier

mass
multiplied by the speed of light squared
Thing
Qualifier

multiplied
by the speed of light squared
Process: material: abstract
Extent: frequency

by
the speed of light squared
minor Process
Range

the speed of light
squared
Thing
Qualifier

the
speed
of light
Deictic
Thing
Qualifier

squared
multiplied
by itself
Process: material: abstract
Extent: frequency

by
itself
minor Process
Range

In spoken mode, the content of mathematics is realised by the phonological system of language. It is only in written mode that the experiential content is realised by a field-specific graphological system.

By the same token, unlike non-linguistic semiotic systems, mathematical equations can be read aloud (e.g. in English, Arabic, Hindi, Mandarin etc.).

It is not the expression plane that determines whether a semiotic system is linguistic or not, but whether or not its content plane is stratified into meaning (semantics) and wording (lexicogrammar). That is, whereas linguistic systems are tri-stratal, non-linguistic semiotic systems are bi-stratal — just content and expression.  Non-linguistic systems therefore do not afford grammatical metaphor. Mathematical equations, on the other hand, make extensive use of ideational metaphor, with sequences of figures being realised as a single participant in an identifying clause, as shown above.

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