explain the difference between
the axiom and theorem
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Aɴ ᴀxɪᴏᴍ ɪs ᴀ sᴛᴀᴛᴇᴍᴇɴᴛ ᴛʜᴀᴛ ɪs ᴄᴏɴsɪᴅᴇʀᴇᴅ ᴛᴏ ʙᴇ ᴛʀᴜᴇ, ʙᴀsᴇᴅ ᴏɴ ʟᴏɢɪᴄ; ʜᴏᴡᴇᴠᴇʀ, ɪᴛ ᴄᴀɴɴᴏᴛ ʙᴇ ᴘʀᴏᴠᴇɴ ᴏʀ ᴅᴇᴍᴏɴsᴛʀᴀᴛᴇᴅ ʙᴇᴄᴀᴜsᴇ ɪᴛ ɪs sɪᴍᴘʟʏ ᴄᴏɴsɪᴅᴇʀᴇᴅ ᴀs sᴇʟғ-ᴇᴠɪᴅᴇɴᴛ. ... A ᴛʜᴇᴏʀᴇᴍ, ʙʏ ᴅᴇғɪɴɪᴛɪᴏɴ, ɪs ᴀ sᴛᴀᴛᴇᴍᴇɴᴛ ᴘʀᴏᴠᴇɴ ʙᴀsᴇᴅ ᴏɴ ᴀxɪᴏᴍs, ᴏᴛʜᴇʀ ᴛʜᴇᴏʀᴇᴍs, ᴀɴᴅ sᴏᴍᴇ sᴇᴛ ᴏғ ʟᴏɢɪᴄᴀʟ ᴄᴏɴɴᴇᴄᴛɪᴠᴇs.
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