Try this code, not much different from your’s but with proper nesting. Let me know if that works.
<?php if ( have_posts() ) :
while ( have_posts() ) : the_post(); ?>
<article id="post-<?php the_ID(); ?>" <?php post_class(); ?>>
<a href="https://wordpress.stackexchange.com/questions/212425/<?php the_permalink() ?>" class="noborder"><?php if ( has_post_thumbnail() ) { the_post_thumbnail('thumbnail'); } ?></a>
<a href="<?php the_permalink(); ?>" title="<?php the_title_attribute(); ?>" rel="bookmark"><?php the_title(); ?></a>
<section class="entry-content">
<?php $content = get_the_content();
$content = strip_tags($content);
echo substr($content, 0, 250) . '...';
?>
<a href="https://wordpress.stackexchange.com/questions/212425/<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title_attribute(); ?>" class="button">Full Post</a>
</section>
</article>
<?php endwhile; ?>
<nav>
<div class="6u"><?php next_posts_link(sprintf( __( '%s', 'blankslate' ), '<span class="button">← Older Posts</span>' ) ) ?>
<div class="6u"><?php previous_posts_link(sprintf( __( '%s', 'blankslate' ), '<span class="button">→ </span>' ) ) ?></div>
</nav>
<?php else : ?>
<p><?php _e( 'Sorry, no posts matched your criteria.' ); ?></p>
<?php endif; ?>