My-question-is-about-the-analogical-axiams-of-the-foundation-geometry-in-mathematocs-As-it-Is-a-well-knowen-axum-in-geometry-starts-from-the-sefinition-of-a-point-which-gives-gives-the-path-analogi

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Question Number 68493 by H1223 last updated on 11/Sep/19

$$Myquestionisabouttheanalogical$$$$axiamsofthefoundationgeometryin$$$$mathematocs.$$$$AsitIsawellknowenaxumingeometry$$$$startsfromthesefinitionofapointwhichgives$$$$givesthepathanalogicallytoline,plane,and$$$$solids.$$$$Knowmytruoblecomesatthese$$$$axiumesareisefromnotnebeingthey$$$$areaziyma\overline{}buttheanalogueffectat$$$$givingthedefinatiomofthesolid\}$$$$1-Apoimtisadimenstinless.$$$$mathematixalabstruct.$$$$2-alineisthecollextomofpoints$$$$whichhasonlyonedimension.$$$$3-aplaneisthecollectionoflines$$$$whichhaveonlu?twodimensions$$$$3-asolidisthecollwxripmofplans$$$$whichhasthreedimensions.$$$$$$$$Nowthefirstthreedefinationaarstiesaremathe$$$$aremathematicalideasorabstruct$$$$whilethelastmathematicalabstructisreal.$$$$owoneartharealobjectisformed$$$$fromthecollextionofunrealplanes$$

Answered by MJS last updated on 12/Sep/19

$$\mathrm{the}{\mathbb{R}}^3\mathrm{or}\mathbb{R}\times \mathbb{R}\times \mathbb{R}\mathrm{is}\mathrm{also}\mathrm{an}\mathrm{abstract}$$$$\mathrm{conception},\mathrm{so}{\mathrm{where}}^{\prime }\mathrm{s}\mathrm{the}\mathrm{problem}???$$

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