Concept in
Metaphysics

Concept in
Maths
Concept in
Code
as
Heuristic
or
else
Type 1 Set 2 Class Apples A description,
sufficiently generalised to
fit every member of a set.
Token Element Object An apple An instance that satisfies
that description.
Subtype Subset Subclass Granny
Smiths
A more specialised
description, covering
only some of the first set.
Relation Relation Association e.g. Between an
apple and Newton's
lying mouth
.
Logical connection of
any sort.
Essence Condition Interface Apples implement
seeds.
Sine qua non
Concept Boolean function Classifier "Is the star apple an apple?
No; it is not of the genus
malum."
A process for identifying kinds of things.
Noumenon N/A Model Der Apfel-an-Sich. The entities as they
are themselves
'Structure' FORM Controller Eh. The formal shape and relations
of a system - what the noumenal and
phenomenal share.
Phenomenon Particular expression? View The cuticle?
No; the secondary properties.
What is perceived
of an entity.
Propositional
function
Function Pure function "Apples can be mapped to oranges via the following CRISPR program..." A machine for pairing inputs with outputs.
Universal Abstraction Abstraction "The apple:
a noble fruit.
"
Zoomed-out view of
some collection;
defining properties shown.
Property Variable Attribute Apples can
be clones.
Something about a thing.
Inherence Predication Attribution
3
This apple is a
clone
Changing the nature
of a thing (or only making
an assertion about it (...))
Individuation Evaluation Assignment Billionth clone of the
Orange Pippin cultivar
(UK NFC 2000-008).
To give a definite
meaning to some
function.
Primitive Primitive Primitive "Why? Why?
Why? Why?"
"Because"
Thing which can't be
defined in terms of
other things. Or isn't.



Tenuous

Concept in
Metaphysics

Concept in
Maths
Concept in
Code
as
Heuristic
or
else
Complex idea Family Inner class Apple with a teratoma? A set which includes another set as member.
Supervenience Asymmetric
dependency
Coupling?
Emergence?
An apple supervenes
on the
electrostatic forces
of its constituents.^^
Euch.
? Domain and
codomain
Type ?. Spec of valid input and output values.
Composition?
Participation?
"A mere
application"
Aggregation The apple has
carbon
molecules.
Relation such that one
thing (apple)
contingently 'has' a set of
other things (carbon, etc).
Constitutive
essence
? Composition Apple has an
endocarp, mesocarp
and exocarp.
Strongest aggregation:
parts are fully contingent
on the whole.
Heraclitean
stage theory
? 'Immutable'
pattern
? Nothing survives change;
all changed things are
wholly new objects.

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  1. Or Platonic Form, or Class, or Kind, or 'Universal' for various subtle gradations of the thought not relevant here. I should also relate or conflate the two rows beginning "Type" and "Universal" but I tire of my own hubris.
  2. This should maybe be "Class" too. Though I haven't seen anyone worrying about Russell's Paradox in Java.
  3. I mean "adding an attribute", giving a class a field it didn't have before...