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Single Idea 21495

[filed under theme 5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic ]

Full Idea

Political ideals must be based upon ideals for the individual life. The aim of politics should be to make the lives of individuals as good as possible.

Gist of Idea

Theoretical and practical politics are both concerned with the best lives for individuals

Source

Bertrand Russell (Political Ideals [1917], 1)

Book Ref

Russell,Bertrand: 'Political Ideals' [Spokesman 2007], p.9


A Reaction

Russell floats between socialism and anarchism, but this foundational remark is classic liberalism.


The 23 ideas with the same theme [logic where variables only refer to objects]:

Liberalism should improve the system, and not just ameliorate it [Dewey]
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
Asserting first-order validity implicitly involves second-order reference to classes [Putnam]
Elementary logic is complete, but cannot capture mathematics [Tharp]
First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
First-order logic is not decidable: there is no test of whether any formula is valid [Bostock]
The completeness of first-order logic implies its compactness [Bostock]
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
In quantified language the components of complex sentences may not be sentences [Kirkham]
First-order logic only has its main theorems because it is so weak [Mayberry]
The 'triumph' of first-order logic may be related to logicism and the Hilbert programme, which failed [Shapiro]
Maybe compactness, semantic effectiveness, and the Löwenheim-Skolem properties are desirable [Shapiro]
First-order logic was an afterthought in the development of modern logic [Shapiro]
The notion of finitude is actually built into first-order languages [Shapiro]
First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
A first-order 'sentence' is a formula with no free variables [Zalabardo]
Not all validity is captured in first-order logic [Read]
In first-order logic syntactic and semantic consequence (|- and |=) nicely coincide [Wolf,RS]
First-order logic is weakly complete (valid sentences are provable); we can't prove every sentence or its negation [Wolf,RS]
Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge]
Liberal Nationalism says welfare states and democracy needed a shared sense of nationality [Shorten]
Philosophers accepted first-order logic, because they took science to be descriptive, not explanatory [Ingthorsson]