more from this thinker     |     more from this text


Single Idea 17445

[filed under theme 7. Existence / C. Structure of Existence / 4. Ontological Dependence ]

Full Idea

Frege says that parallelism is more fundamental than sameness of direction because all geometrical notions must originally be given in intuition.

Gist of Idea

Parallelism is intuitive, so it is more fundamental than sameness of direction

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §64) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3

Book Ref

-: 'Notre Dame Journal of Formal Logic' [-], p.193


A Reaction

If Frege thinks some truths are more fundamental, this gives an indication of his reasons. But intuition is not a very strong base.

Related Idea

Idea 17443 Many of us find Frege's claim that truths depend on one another an obscure idea [Heck on Frege]


The 17 ideas with the same theme [things that rely on other things for their existence]:

A thing is prior to another if it implies its existence [Aristotle]
Of interdependent things, the prior one causes the other's existence [Aristotle]
What is prior is always potentially present in what is next in order [Aristotle]
Prior things can exist without posterior things, but not vice versa [Aristotle]
Many of us find Frege's claim that truths depend on one another an obscure idea [Heck on Frege]
Parallelism is intuitive, so it is more fundamental than sameness of direction [Frege, by Heck]
Being primitive or prior always depends on a constructional system [Goodman]
Ontological dependence rests on essential connection, not necessary connection [Molnar]
An object is dependent if its essence prevents it from existing without some other object [Fine,K]
A natural modal account of dependence says x depends on y if y must exist when x does [Fine,K]
An object depends on another if the second cannot be eliminated from the first's definition [Fine,K]
Dependency is the real counterpart of one term defining another [Fine,K]
There is 'weak' dependence in one definition, and 'strong' dependence in all the definitions [Fine,K]
Independent objects can exist apart, and maybe even entirely alone [Simons]
There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo]
Non-causal dependence is at present only dimly understood [Liggins]
There's essential, modal, explanatory, conceptual, metaphysical and constitutive dependence [Jenkins, by PG]