Consciousness emerges from computational properties — specifically, recursive self-modeling within information-processing systems.

Gödelian incompleteness proves consciousness cannot be reduced to computation — subjective experience requires fundamentally non-algorithmic processes.

Interventional invariance proves causation is objective — causal relationships are those that remain stable under experimental manipulation.

Cross-cultural variation in causal reasoning proves causation is a cognitive construct rather than a mind-independent feature of reality.

Gödel’s incompleteness theorems prove mathematical truth transcends formal systems, establishing mathematical Platonism.

The axiom-dependence of cardinality results proves mathematics is constructed — different axiom systems yield different ‘truths’.