Elements of metaphysicsTaylor, A. E. (Alfred Edward)
Philosophy
Elements of metaphysics
Taylor, A. E. (Alfred Edward)
Metaphysics
I suppose I need not remind my reader that when a number is spoken of
as the actual sum of an infinite series (as when 2 is called the sum
of the series 1 + 1/2 + 1/4 + 1/8 + ... to infinity), the word _sum_
is used in a derivative and improper sense for the limiting value
assumed by the sum of _n_ terms as _n_ increases indefinitely. See
Lamb, _Infinitesimal Calculus_, p. 11.
Footnote 113:
For the various views here summarised, see as original sources,
Geulincx, _Metaphysica Vera_, Pars Prima, 5-8; Malebranche,
_Entretiens sur la Metaphysique et sur la Religion_, 7th dialogue;
Berkeley, _New Theory of Vision_, pp. 147, 148; _Principles of Human
Knowledge_, §§ 25-33, 51-53, 57, 150; _Second Dialogue between Hylas
and Philonous_.
Footnote 114:
Geulincx expresses the principle in the following formula (_op. cit._,
pt. 1, 5): quod nescis quomodo fiat, id non facis.
Footnote 115:
Not that existence can intelligibly be treated as a property; on this
point Kant’s famous criticism of the “ontological proof” seems
conclusive. But _from the point of view of Leibnitz_ it must be
imagined as an additional predicate, somehow added by the creative act
of God to those already contained in the concept of the world as
“possible.”
Footnote 116:
For Leibnitz’s doctrine consult further, _The Monadology etc., of
Leibniz_, edit. by R. Latta, Introduction, pts. 2 and 3, and
translations of _Monadology_, _New System of the Communication of
Substances_, with the _First_ and _Third Explanations_ of the New
System. Also see the elaborate criticisms of B. Russell, _The
Philosophy of Leibniz_, chap. 4 and following chapters.
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BOOK III
COSMOLOGY—THE INTERPRETATION
OF NATURE
CHAPTER I
INTRODUCTORY
§ 1. Distinction between the experimental sciences and a Philosophy of
Nature and Mind. The former concerned with the description, the
latter with the interpretation, of facts. § 2. Cosmology is the
critical examination of the special characteristics of the physical
order. Its main problems are: (1) the problem of the nature of
Material Existence; (2) problem of the justification of the concept
of the Mechanical Uniformity of Nature; (3) problems of Space and
Time; (4) problem of the Significance of Evolution; (5) problem of
the Place of descriptive Physical Science in the System of Human
Knowledge.
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