You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


Q:

Javascript/jQuery form validation

I got most of this form validation to work properly but the only issue is that when the form detects an error on submit and the user corrects the mistake, the error text won't go away. This can be confusing for the user but I can't seem to figure out a way to make the error text disappear with the way that I am doing this. Also I know I have the option of PHP validation but there is a few reasons why I want to use this front end validation. Here is the whole validation script for the form. The submit portion is at the bottom:
JavaScript/jQuery
    var valid = 0;

    function checkName(elem) {

        //gather the calling elements value
        var val = document.getElementById(elem.id).value;
        //Check length
        if (val.length<1) {
            document.getElementById("errorName").innerHTML = "<span>Don't forget your name.</span>";

        } else if (val.length>40){
            document.getElementById("errorName").innerHTML = "<span>This doesn't look like a name.</span>";
        //If valid input increment var valid.
        } else {
            document.getElementById("errorName").innerHTML = "";
            valid++;

        }
    }

    function checkEmail(elem) {

        var val = document.getElementById(elem.id).value;
        //Check email format validity
        var re = /^(([^<>()[\]\\.,;:\s@\"]+(\.[^<>()[\]\\.,;:\s@\"]+)*)|(\".+\"))@((\[[0-9]{1,3}\.[0-9]{1,3}\.[0-9]{1,3}\.[0-9]{1,3}\])|(([a-zA-Z\-0-9]+\.)+[a-zA-Z]{2,}))$/;
        if (!re.test(val)) {
            document.getElementById("errorEmail").innerHTML = "<span>Please enter a valid email.</span>";
        } else {
            document.getElementById("errorEmail").innerHTML = "";
            valid++;
        }
    }

    function checkMessage(elem) {

        var val = document.getElementById(elem.id).value;

        if (val.length<1) {
            document.getElementById("errorMessage").innerHTML = "<span>It looks like you forgot the message.</span>";

        } else if (val.length>2000) {
            document.getElementById("errorMessage").innerHTML = "<span>It looks like your message is too long.</span>";

        } else {
            document.getElementById("errorMessage").innerHTML = "";
            valid++;    
        }

    }

//Contact: jQuery check for null/empty/errors
$(document).ready(function() {

function checkSubmit() {
    if (valid == 3) {
        document.getElementById("errorSubmit").innerHTML = "";
    }
}

//If errors when submitting display message

$('#form13').submit(function(submit) {
    if ($.trim($("#name").val()) === "" || $.trim($("#email").val()) === "" || $.trim($("#message").val()) === "") {
        document.getElementById("errorSubmit").innerHTML = "<span>Please fill out all the form fields.</span>";
        submit.preventDefault();
    } else if (valid < 3) {
        document.getElementById("errorSubmit").innerHTML = "<span>Please check the errors above.</span>";
        submit.preventDefault();
    }
  })
});

HTML Form
 <div class="row"> 
            <div class="col-md-8 col-md-offset-2"> 
                <div class="cform" id="contact-form"> 
                    <form id="form13" name="form13" role="form" class="contactForm" accept-charset="UTF-8" autocomplete="off" enctype="multipart/form-data" method="post" novalidate
  action="https://Some3rdPartyPOSTService"> 
                        <div class="form-group"> 
                            <label for="name">Your Name</label>                                 
                            <input type="text" name="Field1" class="form-control" id="name" placeholder="Tony Stark" onblur="checkName(this)"/>
                            <span id="errorName" style="margin-left:10px;"></span>                                                              
                        </div>                             
                        <div class="form-group"> 
                            <label for="email">Your Email</label>                                 
                            <input type="email" class="form-control" name="Field4" id="email" placeholder="" data-rule="email" data-msg="Please enter a valid email" onblur="checkEmail(this)"/>
                            <span id="errorEmail" style="margin-left:10px;"></span>                                  
                        </div>                                                     
                        <div class="form-group"> 
                            <label for="message">Message</label>                                 
                            <textarea class="form-control" name="Field3" id="message" rows="5" data-rule="required" data-msg="Please write something here" onblur="checkMessage(this)"></textarea>  
                            <span id="errorMessage" style="margin-left:10px;"></span>                                
                        </div>
                        <span id="errorSubmit" style="margin-left:10px;"></span>
                        <button type="submit" class="btn btn-theme pull-left">SEND MESSAGE</button>
                    </form>                         
                </div>                     
            </div>                 
            <!-- ./span12 -->                 
        </div>             
    </div>         
</section>     

A:

Simply put your check on onChange event callback, if:
var x = getElementById("formid"); //  then add a listener     
x.addEventListener('change', function () {

   callback with your code that examines the form

});

Or listen for a specific text box change event, that would be the simplest way, and look for a way to disable submit if the conditions aren't met.

A:

Add an onchange event to your text inputs that will remove the error message.
Rather than making a count of valid fields, I would also check for the existence of error messages.  This will make it easier to add more fields to your form.
function checkName(e) {
        //gather the calling elements value
        var val = $(e.target).val();
        //Check length
        if (val.length<1) {
            document.getElementById("errorName").innerHTML = "<span class="errmsg">Don't forget your name.</span>";

        } else if (val.length>40){
            document.getElementById("errorName").innerHTML = "<span class='errmsg'>This doesn't look like a name.</span>";
        //If valid input increment var valid.
        } else {
            document.getElementById("errorName").innerHTML = "";

        }
    }

    function checkEmail(e) {

        var val = $(e.target).val();
        //Check email format validity
        var re = /^(([^<>()[\]\\.,;:\s@\"]+(\.[^<>()[\]\\.,;:\s@\"]+)*)|(\".+\"))@((\[[0-9]{1,3}\.[0-9]{1,3}\.[0-9]{1,3}\.[0-9]{1,3}\])|(([a-zA-Z\-0-9]+\.)+[a-zA-Z]{2,}))$/;
        if (!re.test(val)) {
            document.getElementById("errorEmail").innerHTML = "<span class='errmsg'>Please enter a valid email.</span>";
        } else {
            document.getElementById("errorEmail").innerHTML = "";
        }
    }

    function checkMessage(e) {

        var val = $(e.target).val();

        if (val.length<1) {
            document.getElementById("errorMessage").innerHTML = "<span class='errmsg'>It looks like you forgot the message.</span>";

        } else if (val.length>2000) {
            document.getElementById("errorMessage").innerHTML = "<span class='errmsg'>It looks like your message is too long.</span>";

        } else {
            document.getElementById("errorMessage").innerHTML = ""; 
        }

    }

//Contact: jQuery check for null/empty/errors
$(document).ready(function() {

    $('#name').change(checkName);
    $('#email').change(checkEmail);
    $('#message').change(checkMessage);

    function checkSubmit() {
        if ($('form .errmsg').length > 0) {
            document.getElementById("errorSubmit").innerHTML = "";
        }
    }
}

/If errors when submitting display message

$('#form13').submit(function(submit) {
    if ($.trim($("#name").val()) === "" || $.trim($("#email").val()) === "" || $.trim($("#message").val()) === "") {
        document.getElementById("errorSubmit").innerHTML = "<span class='errmsg'>Please fill out all the form fields.</span>";
        submit.preventDefault();
    } else if ($('form .errmsg').length > 0) {
        document.getElementById("errorSubmit").innerHTML = "<span class='errmsg'>Please check the errors above.</span>";
        submit.preventDefault();
    }
  })
});

Since you were already using jQuery, I modified the code to use more of the jQuery functionality to make things easier.  Now when a form field is modified and the element loses focus, the validation will occur immediately.  We also no longer need to know how many error messages could potentially appear (though you never had a decrement operation for corrected values so the valid could become greater than 3).  Instead we just make sure that there isn't more than 0 of them.