That exactly how I teach it in introductory analysis: assume the existence of the natural numbers, satisfying the Peano axioms. Then build integers, rationals and reals one after another, each as appropriate equivalence classes.
October 15, 2023 at 6:28 PM
That exactly how I teach it in introductory analysis: assume the existence of the natural numbers, satisfying the Peano axioms. Then build integers, rationals and reals one after another, each as appropriate equivalence classes.
Bin ganz neu hier.
October 13, 2023 at 2:31 PM
Bin ganz neu hier.
USA ist aber nicht weiblich (wie er schreibt) sondern männlich (“der Staat”) im Mehrzahl.
October 13, 2023 at 1:55 PM
USA ist aber nicht weiblich (wie er schreibt) sondern männlich (“der Staat”) im Mehrzahl.
Of course I meant neuter singular. One says “in die VAE”, where Emirate is the plural of “das Emirat”. And as someone else pointed out, there is one neuter singular exception: “ins VK”.
October 13, 2023 at 1:51 PM
Of course I meant neuter singular. One says “in die VAE”, where Emirate is the plural of “das Emirat”. And as someone else pointed out, there is one neuter singular exception: “ins VK”.
Country names that are neuter are used without an article (“das”) – don’t ask me why. Germans don’t like to use prepositions like “in” without an article on the object noun – because then you have no marker showing whether it is accusative or dative. So they use a different preposition (“nach”).
October 13, 2023 at 1:36 PM
Country names that are neuter are used without an article (“das”) – don’t ask me why. Germans don’t like to use prepositions like “in” without an article on the object noun – because then you have no marker showing whether it is accusative or dative. So they use a different preposition (“nach”).
Paywall even with that link.
October 11, 2023 at 6:30 AM
Paywall even with that link.
It's also a problem of them not realizing that inflation is a derivative of prices. Lower inflation means prices are still rising. And the big price increases from a year ago are still there.
October 8, 2023 at 9:18 PM
It's also a problem of them not realizing that inflation is a derivative of prices. Lower inflation means prices are still rising. And the big price increases from a year ago are still there.