(ii) Introduce a symbol ‘x’ for existential import.
We've gone from tangential to existential in a very real way.
Hate is an existential threat to the people it targets, but it’s no threat at all to Facebook.
The validity of some syllogistic figures (see syllogism) depends on whether universal statements are interpreted as having existential import.
"We all have an existential need to understand our place in the world.
The same goes for ‘∃x Unicorn(x)’, and all other false existential sentences.
Let us start from (1); how should this relationship of existential dependence be defined?
Jan Heylen (2017) agrees but contends that free logic trivially implies other existential sentences.
On the existential reading, knowledge is set over what exists; belief is set over what exists and does not exist.
Suspension of existential commitment may group with availability of unspecific readings for explanatory purposes.
Note, that by an existential proposition we do not mean here the content of a judgement, but sentences of the following form:
Carlson also took the distinction to underwrite the difference between existential and generic readings of the indefinite singular:
Every artwork reveals a fundamental, existential attitude towards the world, and is the expression of an existential choice.
Existential judgements play a fundamental role in Brentano’s arguments against other views of judgement as well as in his positive account of judgement.
While holding on to his view that existential propositions express categorical judgements, and that categorical propositions can express existential judgements, Brentano later dropped the reduction thesis.
Thus, that indefinites appear to have the force of existential quantifiers in cases like (27) is not because they are existential quantifiers but because of the default existential quantification of free variables.
For while existential sentences like (11) that quantify over fictional characters are common enough, there are other existential claims with the same logical features as (11) that philosophers are far less likely to take as evidence of realism.
Along with Don Robert’s pioneering work on Existential Graphs and John Sowa’s creative application of Peirce’s graphs, recently a group of diagrammatic researchers provided more diverse approaches to Existential Graphs in a broader theoretical context (Shin 2003).
The Frege-Russell view that existence is a second-order property is based on the idea that seemingly singular existential and negative existential sentence like ‘Bill Gates exists’ and ‘Ronald McDonald does not exist’ are, in their deeper logical form, general existential and negative existential claims.
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