Which of the following is the clearest example of a priori knowledge?
AWater freezes at 0°C at standard atmospheric pressure.
BAll bachelors are unmarried.
CThe Eiffel Tower is located in Paris.
DGold has an atomic number of 79.
'All bachelors are unmarried' is knowable through conceptual analysis alone — 'bachelor' just means 'unmarried man,' so no observation is required to verify it. The other three examples require empirical investigation: water's freezing point, the Eiffel Tower's location, and gold's atomic number are all discovered through experience, making them a posteriori.
Question 2 True / False
A priori knowledge is the same as innate knowledge — truths that humans are born already knowing, prior to any experience or learning.
TTrue
FFalse
Answer: False
A priori means justifiable without appeal to sensory experience, not that the knowledge is genetically hardwired. A child who learns the axioms of arithmetic and derives a theorem has acquired a priori knowledge through study and reasoning — not through being born with it. Kant separated the epistemic question (how is knowledge justified?) from the psychological question (how did it come to be in the mind?).
Question 3 Short Answer
Kant claimed that some knowledge is both 'synthetic' and 'a priori.' What does this mean, and why was it philosophically significant?
Think about your answer, then reveal below.
Model answer: Synthetic a priori knowledge is genuinely informative about the world (synthetic — not merely a definitional truth) yet justifiable through pure reason without sensory experience (a priori). Kant's examples include mathematical truths like '7 + 5 = 12' and causal principles like 'every event has a cause.' This was significant because it challenged empiricists who claimed all non-trivial knowledge must come from experience, showing that reason alone can extend our knowledge beyond mere definitions.
Before Kant, the a priori was generally assumed to cover only analytic truths — statements true by definition. If 'bachelor means unmarried man,' then 'all bachelors are unmarried' adds nothing new. Kant argued that mathematics and fundamental principles of experience are different: they are not just unpacking definitions, yet we know them without running experiments. This opened a new question: how is synthetic a priori knowledge possible? His answer — that the mind imposes certain structures on experience — remains one of philosophy's most influential (and contested) ideas.