Påstanden er falsk.

It is the noun påstand plus the definite ending -en:

• påstand = claim, assertion, statement
• påstanden = the claim / the statement

So Norwegian often builds definiteness into the end of the noun instead of using a separate word like the.

Because Norwegian usually puts the definite article at the end of the noun:

• en påstand = a claim
• påstanden = the claim

This is one of the big differences from English. In this sentence, -en already means the, so no extra word is needed.

Påstand is a common gender noun in modern Bokmål (traditionally masculine). That is why it takes:

• en påstand = a claim
• påstanden = the claim

You would not normally use a feminine form with this noun.

Er is the present tense of å være = to be.

So:

• er = is / are / am, depending on context

In this sentence, it links the subject påstanden with the description falsk, just like English is in The statement is false.

Because adjectives in Norwegian often agree with the noun they describe, including when they come after er.

Here, påstand is a common gender singular noun, so the adjective stays in its basic form:

• Påstanden er falsk.

Compare:

• Utsagnet er falskt. = The statement is false.
  (utsagn is neuter, so the adjective becomes falskt.)

• Påstandene er falske. = The statements are false.
  (plural gives falske)

So falsk is the correct form for a common gender singular noun.

Because here falsk is a predicate adjective: it comes after a linking verb like er and describes the subject.

Structure:

• Påstanden = subject
• er = linking verb
• falsk = predicate adjective

If you put the adjective before the noun, you get a different structure:

• en falsk påstand = a false claim
• den falske påstanden = the false claim

So both are possible, but they are used in different sentence patterns.

Not always.

Påstand often means claim or assertion, and it can sometimes sound a little less neutral than English statement. In some contexts, especially in logic, math, or grammar, Norwegian may also use utsagn.

So depending on context:

• påstand = claim / assertion / statement
• utsagn = statement, utterance, proposition

In your sentence, påstanden er falsk is perfectly natural, but the exact English word can vary with context.

The basic order is:

subject + verb + complement

So:

• Påstanden = subject
• er = verb
• falsk = complement

This is the standard word order for a simple statement in Norwegian.

If you turn it into a yes/no question, the verb comes first:

• Er påstanden falsk? = Is the statement false?

It normally comes after the verb:

• Påstanden er ikke falsk.

That is a very common Norwegian pattern:

subject + verb + ikke + adjective

So:

• Han er ikke syk. = He is not sick.
• Boka er ikke ny. = The book is not new.
• Påstanden er ikke falsk. = The statement is not false.

Here are the most useful related forms:

• En påstand er falsk. = A statement/claim is false.
• Påstanden er falsk. = The statement/claim is false.
• Påstander er falske. = Statements/claims are false.
• Påstandene er falske. = The statements/claims are false.

Notice how the adjective changes:

• singular common gender: falsk
• plural: falske