all the axioms and postulate
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- Axioms or postulates are the assumptions which are obvious universal truths. They are not proved. Theorems are statements which are proved, using definitions, axioms, previously proved statements and deductive reasoning
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꧁ᴀxɪᴏᴍꜱ ᴀɴᴅ ᴘᴏꜱᴛᴜʟᴀᴛᴇꜱ ᴀʀᴇ ᴇꜱꜱᴇɴᴛɪᴀʟʟʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴛʜɪɴɢ: ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ ᴛʀᴜᴛʜꜱ ᴛʜᴀᴛ ᴀʀᴇ ᴀᴄᴄᴇᴘᴛᴇᴅ ᴡɪᴛʜᴏᴜᴛ ᴘʀᴏᴏғ. ᴛʜᴇɪʀ ʀᴏʟᴇ ɪꜱ ᴠᴇʀʏ ꜱɪᴍɪʟᴀʀ ᴛᴏ ᴛʜᴀᴛ ᴏғ ᴜɴᴅᴇғɪɴᴇᴅ ᴛᴇʀᴍꜱ: ᴛʜᴇʏ ʟᴀʏ ᴀ ғᴏᴜɴᴅᴀᴛɪᴏɴ ғᴏʀ ᴛʜᴇ ꜱᴛᴜᴅʏ ᴏғ ᴍᴏʀᴇ ᴄᴏᴍᴘʟɪᴄᴀᴛᴇᴅ ɢᴇᴏᴍᴇᴛʀʏ. ᴀxɪᴏᴍꜱ ᴀʀᴇ ɢᴇɴᴇʀᴀʟʟʏ ꜱᴛᴀᴛᴇᴍᴇɴᴛꜱ ᴍᴀᴅᴇ ᴀʙᴏᴜᴛ ʀᴇᴀʟ ɴᴜᴍʙᴇʀꜱ.꧂
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