Kripke's necessary a posteriori shows that identity statements like 'water=H2O' are necessary yet knowable only empirically, establishing a category of non-entailing necessary connections.

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Kripke: Kripke refers to Saul Kripke, an influential American philosopher and logician known for revolutionizing how we think about names, meaning, and possibility. He argued that names like "Albert Einstein" refer directly to the actual person rather than through descriptions of their properties, which changed philosophy fundamentally. His work also introduced "possible worlds" as a way to understand concepts like necessity and possibility, making him one of the most important philosophers of the 20th century.
a posteriori(Used to classify the epistemic status of necessary statements post-Kripke): Knowable, but not independently of empirical experience
empirically(as used in epistemology (how we know things)): Based on actual observations and real-world evidence rather than just ideas or beliefs.
identity statements(as used in logic and metaphysics): Sentences that claim two things are the same, like 'water is H2O' or 'the morning star is the evening star.'

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