4 added 342 characters in body
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Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

I believe [that] X is real.

and not "I believe X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I emphatically believe that the proposition 'X is real' describes the current situation correctly, independent of my intervention or yours", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X may be real or not, but if it is not real then I will refuse to proceed/cooperate with whatever we're talking about".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

In a mathematical paper where are you are describing your initial conditions, you can choose whether to use the metaphor of actively creating X as you define it ("let X be a real number") or the metaphor of merely describing the state of an already-defined entity ("assume X is a real number"). The former is probably more common.

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

I believe [that] X is real.

and not "I believe X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I emphatically believe that the proposition 'X is real' describes the current situation correctly, independent of my intervention or yours", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X may be real or not, but if it is not real then I will refuse to proceed/cooperate with whatever we're talking about".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

I believe [that] X is real.

and not "I believe X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I emphatically believe that the proposition 'X is real' describes the current situation correctly, independent of my intervention or yours", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X may be real or not, but if it is not real then I will refuse to proceed/cooperate with whatever we're talking about".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

In a mathematical paper where are you are describing your initial conditions, you can choose whether to use the metaphor of actively creating X as you define it ("let X be a real number") or the metaphor of merely describing the state of an already-defined entity ("assume X is a real number"). The former is probably more common.

3 added 218 characters in body
source | link

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

I believe [that] X is real.

and not "I believe X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I insistemphatically believe that the proposition 'X is real' is true"describes the current situation correctly, whereasindependent of my intervention or yours", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X beingmay be real or not, but if it is a precondition of my acceptance of the situation"not real then I will refuse to proceed/cooperate with whatever we're talking about".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

I believe [that] X is real.

and not "I believe X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I insist that the proposition 'X is real' is true", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X being real is a precondition of my acceptance of the situation".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

I believe [that] X is real.

and not "I believe X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I emphatically believe that the proposition 'X is real' describes the current situation correctly, independent of my intervention or yours", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X may be real or not, but if it is not real then I will refuse to proceed/cooperate with whatever we're talking about".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

2 added 218 characters in body
source | link

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

Let us assumeI believe [that] X is real.

and not "I assumebelieve X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I insist that the proposition 'X is real' is true", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X being real is a precondition of my acceptance of the situation".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

Let us assume [that] X is real.

and not "I assume X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I insist that the proposition 'X is real' is true", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X being real is a precondition of my acceptance of the situation".

Your question has made me think about this for the first time: there seems to be a distinction between verbs that merely process information about a fixed situation, and verbs that declare a position or approach to a potentially changeable situation.

For example you would say

I believe [that] X is real.

and not "I believe X be real". By contrast you should really say

I demand [that] X be real.

and not "I demand X is real".

One result of this is that the following two statements have different meaning:

I insist that X is real

means "I insist that the proposition 'X is real' is true", whereas

I insist that X be real

means something along the lines of "I am laying down the law, that you must ensure X is real", or more generally "X being real is a precondition of my acceptance of the situation".

Your example, of assuming whether something is real, is processing information about a fixed proposition. Therefore you would not use the subjunctive. You would say "assume that X is real", not "assume that X be real".

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