List all blog categories (with permalinks)

home.php

<?php
echo '<div class="post-categories">';

$tax = 'category';
$terms = get_the_terms($post->ID, $tax);

if (!empty($terms)) :
    if (count($terms) === 1) {
        echo "<p>Category:</p>";
    } else {
        echo "<p>Categories:</p>";
    }
    echo '<ul class="nostyle">';
    foreach ($terms as $term) {
        echo '<li><a href="' . get_term_link($term->slug, $tax) . '">' . $term->name . '</a></li>';
    }
    echo '</ul>';
endif;
?>