In der Schlussfolgerung erkläre ich noch einmal meine These, ohne neue Beispiele einzuführen.

Because in can take either the dative or the accusative, depending on the meaning.

• dative = location, meaning in / inside
• accusative = direction, meaning into

Here, In der Schlussfolgerung means in the conclusion as a location within the text, so German uses the dative.

• die Schlussfolgerung = nominative
• der Schlussfolgerung = dative

So in der Schlussfolgerung is correct.

This is because German follows the verb-second rule in main clauses.

The conjugated verb must be in the second position. If you put a phrase like In der Schlussfolgerung first, that counts as the first element, so the verb comes next:

• In der Schlussfolgerung = position 1
• erkläre = position 2
• ich = then comes after

So:

• Ich erkläre in der Schlussfolgerung ...
• In der Schlussfolgerung erkläre ich ...

Both are possible, but the word order changes because of the verb-second rule.

Yes, here Schlussfolgerung means conclusion, especially in an essay, presentation, or argument.

It can also mean inference in other contexts, depending on the situation. In writing, though, die Schlussfolgerung is commonly understood as the final part where you sum up your argument.

A related word is das Fazit, which also means conclusion / summary, often in a slightly more everyday or practical way.

No. German die These does not mean the English plural these.

In German, die These means:

• thesis
• claim
• main argument

So meine These means my thesis or my main claim.

This is a very common false friend for English speakers.

Because These is a feminine noun: die These.

The verb erklären takes a direct object in the accusative, so meine These is the accusative form.

For feminine nouns, the article and possessive forms often look like this:

• nominative: meine These
• accusative: meine These

So the form does not change here, even though the case is accusative.

Noch einmal means once again, one more time, or simply again.

In this sentence, it means that the speaker is restating the thesis in the conclusion:

• Ich erkläre noch einmal meine These = I explain my thesis once again

It often sounds a little more deliberate than just wieder. In an academic or structured context, noch einmal works very naturally.

Because ohne can introduce an infinitive clause meaning without doing something.

The structure is:

• ohne + zu-infinitive

Here the full idea is:

• ohne neue Beispiele einzuführen = without introducing new examples

This is a very common pattern in German:

• ohne zu warten = without waiting
• ohne etwas zu sagen = without saying anything
• ohne neue Beispiele einzuführen = without introducing new examples

Because einführen is a separable verb:

• einführen = to introduce

When a separable verb is used in the zu-infinitive, zu goes between the prefix and the base verb:

• ein + führen
• einzuführen

So:

• einführen → einzuführen
• anzufangen from anfangen
• aufzuschreiben from aufschreiben

That is why zu einführen is incorrect.

Because infinitive clauses introduced by words like um, ohne, and statt normally take a comma.

So German writes:

• ..., ohne neue Beispiele einzuführen.

This comma is required because ohne neue Beispiele einzuführen is a separate infinitive construction.

Because Beispiele is plural, and there is no article before it.

After ohne, the phrase is functioning as the object of einführen, so it is accusative plural. With no article in the accusative plural, the adjective usually takes the ending -e:

• neue Beispiele

So this is correct:

• ohne neue Beispiele einzuführen

Not:

• ohne neuen Beispiele einzuführen

Here einführen means to introduce in the sense of bringing in a new point, topic, or example.

So neue Beispiele einzuführen means:

• to introduce new examples
• to bring in new examples

In this sentence, it means that in the conclusion, the speaker restates the thesis but does not add new supporting examples.

No. That is not correct standard German.

Because einführen is separable, the correct zu-infinitive form is:

• einzuführen

So the correct phrase is:

• ohne neue Beispiele einzuführen

not

• ohne neue Beispiele zu einführen

Yes, very much so.

It sounds like a sentence about essay structure or presentation structure. Expressions like these are common in academic German:

• In der Einleitung ...
• Im Hauptteil ...
• In der Schlussfolgerung ...
• meine These erklären
• neue Beispiele einführen

So this sentence is natural and appropriate in a formal or academic context.