In hermetic traditions, the spade or sword, is the suit of the Tarot that signifies thought or intellect. The ace usually suggests a new idea.
The ability to reason, as symbolized by something that cuts or separates pieces from the core (presumably where the answer is) for better sorting or aprehending.
the ace of spades is also an operative in the idea of Occam’s Razor, a scientific and philosophic rule that suggests the simplest of competing theories is preferred to the more complex or explanations of paranormal phenomena or other complicated reasons.
Occam’s (or Ockham’s) razor is a principle attributed to the 14th century logician and Franciscan friar William of Ockham. Ockham was the village in the English county of Surrey where he was born.
“Pluralitas non est ponenda sine neccesitate”
“Frustra fit per plura quod potest fieri per pauciora”
“Entia non sunt multiplicanda praeter necessitatem”