Limit the number of categories shows on page - php

Question

I have this portion of code where categories are loaded from txt file.
<?php
foreach ($categories as $cat) {
if ($cat['word'] == false)
continue;
?>
<li>
<?php echo $cat['name']?>
</li>
<?php } ?>
The problem is that they are a lot because they are pulled from outside and populated dynamically in the file. Because of that I want to limit them to 15 but I'm unable to do it.
I've tried with for and while, like:
<?php
foreach ($categories as $cat) {
if ($cat['word'] == false)
continue;
for($cat['word'] = 0; $cat['word'] <=15; $cat['word']++){
?>
<li>
<?php echo $cat['name']?>
</li>
<?php }
}?>
And
<?php
foreach ($categories as $cat) {
if ($cat['word'] == false)
continue;
while($cat['word'] = 15;){
?>
<li>
<?php echo $cat['name']?>
</li>
<?php }
}?>
Both variants result in empty names.

Answer 1

Will the following work for you?
<?php $count = 0; ?>
<?php foreach ($categories as $cat) :?>
<?php if ($cat['word'] == false) continue; ?>
<li>
<?php echo $cat['name']?>
</li>
<?php if ($count >= 15) break; ?>
<?php $count++; ?>
<?php endforeach; ?>

Answer 2

Assuming you'd like to filter out the $cat['word'] == false entries before limiting the results to the first 15 (ie so you get up to 15 entries shown), try something like this...
$filtered = array_filter($categories, function($cat) {
return $cat['word']; // only include truthy "word" entries
});
foreach (array_slice($filtered, 0, 15) as $cat) : ?>
<li>
<?= $cat['name'] ?>
</li>
<?php endforeach ?>

Answer 3

<?php
$counter = 0;
foreach ($categories as $cat) {
if ($cat['word'] == false){
continue;
}
if($counter < 15) {
echo '<li>
<?php echo $cat['name']?>
</li>'
$counter++;
}} ?>
Can be refactored.