Skip to content
Carmelics
Topics
Thinkers
Changes
Contributors
Loading account…
Statements
321,452
Perspectives
108,905
Topics
42
Home
/
Original
/
inverse
See Original
Inverse View
It is not the case that Game formalism likely implies mathematical utterances are unsinnig (nonsensical) rather than merely sinnlos (lacking sense)
?
Set your confidence on the premises below to see your aggregate.
Reasons For
2 perspectives
Reason for 1 of 2
?
1.
Hilbert's formalism distinguishes between real (contentual) and ideal (formal) statements, not between meaningful and meaningless marks.
?
How convincing is this?
Think about whether this reason is strong or weak
2.
Ideal mathematical statements function analogously to Wittgenstein's sinnlos propositions: they lack direct empirical content but serve systematic, rule-governed roles.
?
How convincing is this?
Think about whether this reason is strong or weak
3.
A statement can be sinnlos within a formal system while remaining syntactically well-formed and operationally significant, placing game formalism closer to sinnlos than unsinnig.
?
How convincing is this?
Think about whether this reason is strong or weak
Reason for 2 of 2
?
1.
Wittgenstein's unsinnig category applies to violations of logical grammar, not merely to statements lacking empirical reference or propositional content.
?
How convincing is this?
Think about whether this reason is strong or weak
2.
Game formalist symbols operate under explicit, consistent syntactic rules that constitute a species of grammar, satisfying the minimal condition for avoiding unsinnig status.
?
How convincing is this?
Think about whether this reason is strong or weak
Reasons Against
1 perspective
Reason against
?
1.
Game formalism treats mathematical utterances as strings of meaningless marks
?
How convincing is this?
Think about whether this reason is strong or weak
2.
Wittgenstein distinguishes sinnlos (senseless, including tautologies and contradictions) from unsinnig (nonsensical)
?
How convincing is this?
Think about whether this reason is strong or weak
3.
Strings of meaningless marks would fall into the unsinnig category rather than the sinnlos category
?
How convincing is this?
Think about whether this reason is strong or weak
Next step
Based on where you are in your exploration
Strongest counterpoint
Explore the most compelling reason on the other side.