If common-sense conceivability sufficed for genuine Cartesian possibility, the deceiving-God hypothesis would be genuinely possible, yet Descartes treats its eventual impossibility as a metaphysical, not merely conceptual, result.

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Key Terms

Cartesian: # Cartesian "Cartesian" refers to a system of organizing space using perpendicular lines or axes (usually labeled x, y, and z) that intersect at a point called the origin, allowing you to pinpoint any location using numbers called coordinates. The term comes from René Descartes, a 17th-century French philosopher and mathematician who developed this method as a way to bridge geometry and algebra. You use it every day without thinking about it—GPS coordinates, video game graphics, and even spreadsheet cells all rely on this Cartesian coordinate system.
Common-sense conceivability(the starting point being evaluated in the statement): Whether something can be imagined or thought about without logical contradiction in everyday thinking—basically, if you can picture it in your mind, it seems possible.
Conceptual(describing the realm of pure thought and reason): Related to ideas, thoughts, and abstract concepts rather than concrete, physical reality.
Deceiving-God hypothesis(the specific example used in the statement)

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Descartes' thought experiment where he imagines a powerful God could be tricking him about everything he perceives, even basic facts about the world.

Descartes

# Descartes René Descartes was a French philosopher and mathematician from the 1600s who fundamentally changed how people think about knowledge and the mind. He's famous for the idea "I think, therefore I am" (cogito ergo sum), which means that the very fact that you can think proves you exist—a foundation for modern philosophy. He also invented the coordinate system used in mathematics (the x and y axes on a graph), which connects geometry and algebra in practical ways we still use today.

Genuine possibility(distinguishes between what's logically consistent and what could truly occur)

Something that could actually happen or be real in the world, not just something that sounds like it doesn't contradict itself.

metaphysical(Ayer's Logical Positivist usage)

Language that purports to refer beyond the physical world and lacks empirical consequences, which Ayer classifies as not literally significant

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If common-sense conceivability sufficed for genuine Cartesian possibility, the deceiving-God hypothesis would be genuinely possible, yet Descartes treats its eventual impossibility as a metaphysical, not merely conceptual, result.

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